What is the answer to 10^x=64 ?

The answer to 10^x=64 is x=(6ln(2))/(ln(10))

The solution is x=(6ln(2))/(ln(10))

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10^x=64

1 0^{x} = 64

x = \frac{6 ln ( 2 )}{ln ( 10 )}

Decimal Notation

x = 1.80617 \dots

Solution steps

1 0^{x} = 64

Apply exponent rules

x ln (10) = ln (64)

Solve

x ln (10) = ln (64) : x = \frac{6 ln ( 2 )}{ln ( 10 )}

x = \frac{6 ln ( 2 )}{ln ( 10 )}

6^{3 x - 4} = 5^{2 x}

1 0^{x} = 17

6 4^{- 15 x - 27} = 8^{3 x^{2} - 3 x}

1 0^{x} = 29

\frac{1}{729} = 3^{x}