Answer:
x=1.9868
Step-by-step explanation:
We are given that
[tex]10^x=97[/tex]
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
[tex]xlog(10)=log 97[/tex]
Using the property: [tex]loga^x=xlog a[/tex]
Now, substitute the value of log 97 and log10=1
[tex]x\times 1=1.9868[/tex]
After multiplying
Then, we get
[tex]x=1.9868[/tex]
Hence, the exact solution of [tex]10^x=97[/tex] is given by
x=1.9868
