Answer:
[tex]x = 1.28[/tex]
Step-by-step explanation:
Given
[tex]95 = 35^x[/tex]
Required
Solve for x
[tex]95 = 35^x[/tex]
Take Log of both sides
[tex]Log95 = Log35^x[/tex]
Apply law of logarithm
[tex]Log95 = xLog35[/tex]
Divide both sides by Log35
[tex]x = \frac{Log95}{Log35}[/tex]
[tex]x = \frac{1.97772360529}{1.54406804435}[/tex]
[tex]x = 1.28085262338[/tex]
Approximate
[tex]x = 1.28[/tex]
