What is the answer to 1.3^x=27 ?

The answer to 1.3^x=27 is x=(3ln(3))/(ln(1.3))

Solve for x: 1.3^x=27

The solution is x=(3ln(3))/(ln(1.3))

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1. 3^{x} = 27

x = \frac{3 ln ( 3 )}{ln ( 1.3 )}

Decimal Notation

x = 12.56206 \dots

Solution steps

1. 3^{x} = 27

Apply exponent rules

x ln (1.3) = ln (27)

Solve

x ln (1.3) = ln (27) : x = \frac{3 ln ( 3 )}{ln ( 1.3 )}

x = \frac{3 ln ( 3 )}{ln ( 1.3 )}

1 7^{x - 6} = 1 1^{- 5 x}

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5^{x} - 24 = \frac{25}{5 ^{x}}

4 (3^{2 x}) = e^{x}