What is the answer to 4^x=10 ?

The answer to 4^x=10 is x=(ln(10))/(2ln(2))

The solution is x=(ln(10))/(2ln(2))

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4^x=10

4^{x} = 10

x = \frac{ln ( 10 )}{2 ln ( 2 )}

Decimal Notation

x = 1.66096 \dots

Solution steps

4^{x} = 10

Apply exponent rules

x ln (4) = ln (10)

Solve

x ln (4) = ln (10) : x = \frac{ln ( 10 )}{2 ln ( 2 )}

x = \frac{ln ( 10 )}{2 ln ( 2 )}

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