What is the answer to 6^x=40 ?

The answer to 6^x=40 is x=(ln(40))/(ln(6))

The solution is x=(ln(40))/(ln(6))

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6^x=40

6^{x} = 40

x = \frac{ln ( 40 )}{ln ( 6 )}

Decimal Notation

x = 2.05880 \dots

Solution steps

6^{x} = 40

Apply exponent rules

x ln (6) = ln (40)

Solve

x ln (6) = ln (40) : x = \frac{ln ( 40 )}{ln ( 6 )}

x = \frac{ln ( 40 )}{ln ( 6 )}

6^{x} = 20

6^{x} = 28

1 1^{x} = 1331

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

2^{x} = 3 2^{x - 16}