Question

What is the exact solution of 10^x = 97 (logarithms)

Answer 1

x=1.9868

Explanation:

We are given that

`10^x=97`

We have to find the exact solution of given expression.

To find the exact solution we will take log on both sides.

Taking log on both sides

Then, we get

`xlog(10)=log 97`

Using the property:
`loga^x=xlog a`

Now, substitute the value of log 97 and log10=1

`x* 1=1.9868`

After multiplying

Then, we get

`x=1.9868`

Hence, the exact solution of
`10^x=97` is given by

x=1.9868

Answer 2

we have that
10^x = 97
applying logarithm bot members
log(10^x)=log (97)
x*log 10=log (97)
x=log (97)

the answer is

the exact solution is
x=log(97)