What is the answer to 2=1.08^x ?

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

Solve for x: 2=1.08^x

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

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2 = 1.0 8^{x}

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

Decimal Notation

x = 9.00646 \dots

Solution steps

2 = 1.0 8^{x}

Apply exponent rules

ln (2) = x ln (1.08)

Solve

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

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

4^{x - 3} = 2^{x - 1}

e^{x + 2} = k - 2

2 7^{2 x + 2} = 8 1^{5 - x}

2^{x - 4} = 64

3^{y + 1} = 4^{y}