What is the answer to 6^x=20 ?

The answer to 6^x=20 is x=(ln(20))/(ln(6))

The solution is x=(ln(20))/(ln(6))

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6^x=20

6^{x} = 20

x = \frac{ln ( 20 )}{ln ( 6 )}

Decimal

x = 1.67195 \dots

Solution steps

6^{x} = 20

Apply exponent rules

x ln (6) = ln (20)

Solve

x ln (6) = ln (20) : x = \frac{ln ( 20 )}{ln ( 6 )}

x = \frac{ln ( 20 )}{ln ( 6 )}

6^{x} = 28

1 1^{x} = 1331

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

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

2^{- x} = \frac{1}{8}