Question

log 125 + log 8 =x. find x​

Answer 1

Answer:

133 is the correct answer I hope it helps you.follow

Step-by-step explanation:

125+8=x

133=x

Answer 2

$\large\underline{\sf{Given- }}$

$\: \: \: \: \: \: \: \: \bull \sf \: log(125) + log(8) = x$

$\large\underline{\sf{To\:Find - }}$

$\: \: \: \: \: \: \: \: \bull \sf \: value \: of \: x$

$\begin{gathered}\Large{\bold{{\underline{Formula \: Used - }}}}  \end{gathered}$

$\underline{ \boxed{ \bf log(x) + log(y) = log(xy)}}$

$\underline{ \boxed{ \bf log( {x}^{y} ) = y log(x)}}$

$\underline{ \boxed{ \bf log( {10}^{x} ) = x}}$

$\large\underline{\sf{Solution-}}$

↝ Given that

$\rm :\longmapsto\: log(125) + log(8) = x$

$\rm :\longmapsto\:x = log(125 \times 8)$

$\rm :\longmapsto\:x = log(1000)$

$\rm :\longmapsto\:x = log( {10}^{3} )$

$\bf\implies \:x = 3$

$\overbrace{ \underline { \boxed { \bf \therefore \: The \: value \: of \: x\: is \:3}}}$

Additional Information :-

$\underline{ \boxed{ \bf log(x) - log(y) = log( \frac{x}{y} )}}$

$\underline{ \boxed{ \bf log_{x}(y) = \dfrac{1}{ log_{y}(x) } }}$

$\underline{ \boxed{ \bf log(1) = 0}}$

$\underline{ \boxed{ \bf log(10) = 1}}$

$\underline{ \boxed{ \bf {y}^{ log_{y}(x) } = x}}$

$\underline{ \boxed{ \bf {e}^{logx} = x}}$