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Marrrta [24]
4 years ago
15

Write the equation in logarithmic form 625=5^4

Mathematics
2 answers:
Lapatulllka [165]4 years ago
6 0

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

g100num [7]4 years ago
4 0

log_{5}625 = 4
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