# Recent questions tagged logarithms

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Given $y=\sqrt{x^{7}}-\frac{5}{x^{3}}$ Which of the following is equivalent to $y$ ?
Given $y=\sqrt{x^{7}}-\frac{5}{x^{3}}$ Which of the following is equivalent to $y$ ?Given \ y=\sqrt{x^{7}}-\frac{5}{x^{3}} \ Which of the following is equivalent to $y$ ? \begin{align} \begin{array}{|l|l|} \hline \text { A } &amp ...
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Without using a calculator, determine the value of: $\sum_{y=3}^{10} \frac{1}{y-2}-\sum_{y=3}^{10} \frac{1}{y-1}$
Without using a calculator, determine the value of: $\sum_{y=3}^{10} \frac{1}{y-2}-\sum_{y=3}^{10} \frac{1}{y-1}$Without using a calculator, determine the value of: \\sum_{y=3}^{10} \frac{1}{y-2}-\sum_{y=3}^{10} \frac{1}{y-1}\ ...
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Prove that $\sqrt{2}+\sqrt{6}<\sqrt{15}$
Prove that $\sqrt{2}+\sqrt{6}<\sqrt{15}$Prove that $\sqrt{2}+\sqrt{6}&lt;\sqrt{15}$ ...
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Proof: $\frac{n^{2}+5}{n+1} \rightarrow \infty$ as $n \rightarrow \infty$
Proof: $\frac{n^{2}+5}{n+1} \rightarrow \infty$ as $n \rightarrow \infty$Proof: $\frac{n^{2}+5}{n+1} \rightarrow \infty$ as $n \rightarrow \infty$ ...
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Simplify $\frac{\sqrt{8+8^{2}+8^{3}}}{\sqrt{\frac{72}{8}}}$
Simplify $\frac{\sqrt{8+8^{2}+8^{3}}}{\sqrt{\frac{72}{8}}}$Simplify $\dfrac{\sqrt{8+8^{2}+8^{3}}}{\sqrt{\dfrac{72}{8}}}$ ...
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Expand and Simplify: $(3 x-2)(x-5)^{2}$
Expand and Simplify: $(3 x-2)(x-5)^{2}$Expand and Simplify: $(3 x-2)(x-5)^{2}$ ...
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Expand and Simplify: $(2 x-1)(x+2)(x-3)$
Expand and Simplify: $(2 x-1)(x+2)(x-3)$Expand and Simplify: $(2 x-1)(x+2)(x-3)$ ...
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Simplify $\left(\frac{216 x^{6}}{27 y^{3}}\right)^{-\frac{2}{3}}$
Simplify $\left(\frac{216 x^{6}}{27 y^{3}}\right)^{-\frac{2}{3}}$Simplify \ \left(\frac{216 x^{6}}{27 y^{3}}\right)^{-\frac{2}{3}} \ ...
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Simplify $\left(\frac{125 x^{6}}{64}\right)^{\frac{1}{3}}$
Simplify $\left(\frac{125 x^{6}}{64}\right)^{\frac{1}{3}}$Simplify $\left(\frac{125 x^{6}}{64}\right)^{\frac{1}{3}}$ ...
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Calculate $|\sqrt{6}-\sqrt{2}|+|\sqrt{2}-1|-|3-\sqrt{6}|$
Calculate $|\sqrt{6}-\sqrt{2}|+|\sqrt{2}-1|-|3-\sqrt{6}|$Calculate $|\sqrt{6}-\sqrt{2}|+|\sqrt{2}-1|-|3-\sqrt{6}|$ ...
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One possible integrating factor for the following linear differential equation is $X \frac{d Y}{d X}+(X+1) Y=3 X^{2} e^{-X}$
One possible integrating factor for the following linear differential equation is $X \frac{d Y}{d X}+(X+1) Y=3 X^{2} e^{-X}$ One possible integrating factor for the following linear differential equation is \ X \frac{d Y}{d X}+(X+1) Y=3 X^{2} e^{-X} \ &nbsp; ...
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What is the value of $\int _ { - \infty } ^ { \infty } | \Psi ( x , t ) | ^ { 2 } d x$?
What is the value of $\int _ { - \infty } ^ { \infty } | \Psi ( x , t ) | ^ { 2 } d x$?What is the value of $\int _ { - \infty } ^ { \infty } | \Psi ( x , t ) | ^ { 2 } d x &nbsp;$? ...
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Without using mathematical tables or calculator, evaluate $\frac{\frac{3}{2} \log 27-3 \log 5 \sqrt{5}}{\log 0.6}$
Without using mathematical tables or calculator, evaluate $\frac{\frac{3}{2} \log 27-3 \log 5 \sqrt{5}}{\log 0.6}$(a) Without using mathematical tables or calculator, evaluate $\frac{\frac{3}{2} \log 27-3 \log 5 \sqrt{5}}{\log 0.6}$ (b) Two linear transformatio ...
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The probabilities that Ago, Sulley and Musa will gain admission to a certain university are $\frac{4}{5}, \frac{3}{4}$ and $\frac{2}{3}$ respectively. Find the probability that :The probabilities that Ago, Sulley and Musa will gain admission to a certain university are $\frac{4}{5}, \frac{3}{4}$ and $\frac{2}{3}$ respectiv ...
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If $f(x)=\frac{4-5 x}{2}$, and $g(x)=x+6, x \in R$, find $f \circ g^{-1}$.
If $f(x)=\frac{4-5 x}{2}$, and $g(x)=x+6, x \in R$, find $f \circ g^{-1}$.(a) If $f(x)=\frac{4-5 x}{2}$, and $g(x)=x+6, x \in R$, find $f \circ g^{-1}$. (b) $P(x, y)$ divides the line joining $(7,-5)$ and $(-2,7) ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Given that \(f(x)=2 x^{2}-3$ and $g(x)=x+1$ where $x \in R$. Find $g \circ f(x)$.
Given that $f(x)=2 x^{2}-3$ and $g(x)=x+1$ where $x \in R$. Find $g \circ f(x)$.Given that $f(x)=2 x^{2}-3$ and $g(x)=x+1$ where $x \in R$. Find $g \circ f(x)$. A. $2\left(x^{2}-1\right)$ B. $2 x^{2}+4 x-1$ C. $2 x^{ ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Simplify \(\frac{\sqrt{128}}{\sqrt{32}-2 \sqrt{2}}$
Simplify $\frac{\sqrt{128}}{\sqrt{32}-2 \sqrt{2}}$Simplify $\frac{\sqrt{128}}{\sqrt{32}-2 \sqrt{2}}$ A. $2 \sqrt{2}$ B. $3 \sqrt{2}$ C. 3 D. 4 ...
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Given that $f(x)=5 x^{2}-4 x+3$, find the coordinates of the point where the gradient is 6
Given that $f(x)=5 x^{2}-4 x+3$, find the coordinates of the point where the gradient is 6Given that $f(x)=5 x^{2}-4 x+3$, find the coordinates of the point where the gradient is 6 A. $(4,1)$ B. $(4,-2)$ C. $(1,4)$ D. $(1,-2)$ ...
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Given that $\frac{6 x+m}{2 x^{2}+7 x-15} \equiv \frac{4}{x+5}-\frac{2}{2 x-3}$, find the value of $m$.
Given that $\frac{6 x+m}{2 x^{2}+7 x-15} \equiv \frac{4}{x+5}-\frac{2}{2 x-3}$, find the value of $m$.Given that $\dfrac{6 x+m}{2 x^{2}+7 x-15} \equiv \dfrac{4}{x+5}-\dfrac{2}{2 x-3}$, find the value of $m$. A. 20 B. 12 C. $-10$ D. $-22$ ...
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Simplify $\frac{1}{(1-\sqrt{3})^{2}}$
Simplify $\frac{1}{(1-\sqrt{3})^{2}}$Simplify $\frac{1}{(1-\sqrt{3})^{2}}$ A. $1-\frac{1}{2} \sqrt{3}$ B. $1+\frac{1}{2} \sqrt{3}$ C. $\sqrt{3}$ D. $1+\sqrt{3}$ ...
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Solve the logarithmic equation $\ln (x-2)+\ln (2 x-3)=2 \ln x$
Solve the logarithmic equation $\ln (x-2)+\ln (2 x-3)=2 \ln x$Solve the logarithmic equation $\ln (x-2)+\ln (2 x-3)=2 \ln x$ ...
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Rationalize the denominator in $\dfrac{1}{\sqrt{3}}+\dfrac{3}{\sqrt{5}}$
Rationalize the denominator in $\dfrac{1}{\sqrt{3}}+\dfrac{3}{\sqrt{5}}$Rationalize the denominator in $\dfrac{1}{\sqrt{3}}+\dfrac{3}{\sqrt{5}}$ ...
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How would you solve $\dfrac{p^{2}}{5(2+4 p)}=\dfrac{9}{70} ?$
How would you solve $\dfrac{p^{2}}{5(2+4 p)}=\dfrac{9}{70} ?$How would you solve $\dfrac{p^{2}}{5(2+4 p)}=\dfrac{9}{70} ?$ ...
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How do you evaluate a logarithm?
Calculate the $\mathrm{y}$-intercept of $y=\left(\frac{1}{2}\right)^{x}$.
Calculate the $\mathrm{y}$-intercept of $y=\left(\frac{1}{2}\right)^{x}$.Calculate the $\mathrm{y}$-intercept of $y=\left(\dfrac{1}{2}\right)^{x}$. ...