What is the answer to 1.08^x=2 ?

The answer to 1.08^x=2 is x=(ln(2))/(ln(1.08))

Solve for x: 1.08^x=2

The solution is x=(ln(2))/(ln(1.08))

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1.0 8^{x} = 2

x = \frac{ln ( 2 )}{ln ( 1.08 )}

Decimal Notation

x = 9.00646 \dots

Solution steps

1.0 8^{x} = 2

Apply exponent rules

x ln (1.08) = ln (2)

Solve

x ln (1.08) = ln (2) : x = \frac{ln ( 2 )}{ln ( 1.08 )}

x = \frac{ln ( 2 )}{ln ( 1.08 )}

(\frac{1}{2})^{x} = 0.26

a, 2^{a - b} = 2016

3^{x} + 3^{x + 2} = 7290

\frac{5}{2 \cdot 2 ^{x} - 2 ^{x} - 2 ^{- 1}} = 16

1 1^{9 x} = 4^{- x + 7}