Question

Write the equation in logarithmic form 625=5^4

Answer 1

$log_{5}625 = 4$

Answer 2

We have been asked to Write the given equation in logarithmic form

The given equation is

$625=5^4$

As we know the logarithmic and exponential functions are inverse of each other.

Also as we know from the property of the logarithm that

${Log_{a}}^{a}=1$

Take Logarithm of base 5 on both the sides we get

${Log_{5}}^{625}={Log_{5}}^{5^4}$

Now using the Power property $Loga^b=bloga$, along with the above mentioned property we can write the above equation as below

${Log_{5}}^{625}=4*{Log_{5}}^{5}=4*1=4$

Hence the Logarithmic Form of the given equation is

${Log_{5}}^{625}=4$