What is the answer to 6^x=32 ?

The answer to 6^x=32 is x=(5ln(2))/(ln(6))

The solution is x=(5ln(2))/(ln(6))

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6^x=32

6^{x} = 32

x = \frac{5 ln ( 2 )}{ln ( 6 )}

Decimal

x = 1.93426 \dots

Solution steps

6^{x} = 32

Apply exponent rules

x ln (6) = ln (32)

Solve

x ln (6) = ln (32) : x = \frac{5 ln ( 2 )}{ln ( 6 )}

x = \frac{5 ln ( 2 )}{ln ( 6 )}

6^{x} = 40

6^{x} = 20

6^{x} = 28

1 1^{x} = 1331

10 - 8 (\frac{1}{2})^{x} = 5