Respuesta :

calculista
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)

lublana

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

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