What is the answer to 10^x=6 ?

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

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

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10^x=6

1 0^{x} = 6

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

Decimal Notation

x = 0.77815 \dots

Solution steps

1 0^{x} = 6

Apply exponent rules

x ln (10) = ln (6)

Solve

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

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

8^{3 x} = \frac{1}{2}

3^{x + 1} - 3^{x} = 18

2 (3^{4 x - 5}) = 7^{2 x}

5^{x - 1} = 5^{x} - 5

(\frac{1}{2})^{x} = \frac{1}{32}