What is the answer to 8^x=45 ?

The answer to 8^x=45 is x=(ln(45))/(3ln(2))

The solution is x=(ln(45))/(3ln(2))

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8^x=45

8^{x} = 45

x = \frac{ln ( 45 )}{3 ln ( 2 )}

Decimal Notation

x = 1.83061 \dots

Solution steps

8^{x} = 45

Apply exponent rules

x ln (8) = ln (45)

Solve

x ln (8) = ln (45) : x = \frac{ln ( 45 )}{3 ln ( 2 )}

x = \frac{ln ( 45 )}{3 ln ( 2 )}

8^{x} = \frac{1}{128}

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1 - e^{- x} = 0

9^{x} = 100

(\frac{1}{5})^{x} \times 12 5^{x + 1} = 4