Hello, help me please)

Question

asked Aug 20, 2023 217k views

1 Answer

Oxfist · Answer 1 · 2023-08-27T06:15:42+0000

olution:

iven;

$\log_52x=3$
$\log_52x=3$

Applyin the power property of logarithm given as;

$\log_ba=c\Leftrightarrow a=b^c$

Thus;

$\operatorname{\log}_52x=3\Leftrightarrow2x=5^3$

Simplify further, we have;

$\begin{gathered} 2x=5*5\operatorname{*}5 \\ \\ 2x=125 \end{gathered}$

ivide both sides by 2;

$\begin{gathered} (2x)/(2)=(125)/(2) \\ \\ x=(125)/(2) \end{gathered}$

NSWER: