How do you write $log_5(625)=x$ in exponential form?

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Answer 1 · 2015-06-18T21:49:08

$5^x=625$
$x=4$

The definition of a logarithm says :

$log_bx=y iff b^y=x$

In other words you can say that logarithm is the exponent to which you must raise the base $(b)$ to get number $x$ .

In this case $x$ is the exponent to which you have to raise base (5) to get 625

$5^x=625$
This is the exponential form.

To find the answer you have to count which power of 5 is 625

$5^1=5$
$5^2=5*5=25$
$5^3=25*5=125$
$5^4=125*5=625$

$5^4=625$ so $x=4$

How do you write log_5(625)=x log_5(625)=x in exponential form?