What is the answer to 1.13^x=2.97 ?

The answer to 1.13^x=2.97 is x=(ln(2.97))/(ln(1.13))

Solve for x: 1.13^x=2.97

The solution is x=(ln(2.97))/(ln(1.13))

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1.1 3^{x} = 2.97

x = \frac{ln ( 2.97 )}{ln ( 1.13 )}

Decimal Notation

x = 8.90675 \dots

Solution steps

1.1 3^{x} = 2.97

Apply exponent rules

x ln (1.13) = ln (2.97)

Solve

x ln (1.13) = ln (2.97) : x = \frac{ln ( 2.97 )}{ln ( 1.13 )}

x = \frac{ln ( 2.97 )}{ln ( 1.13 )}

8 \cdot 5^{3 - x} = 6

(2^{(x + 1)})^{2} = 64

2^{1 - 2 v} = 2^{3 v - 1}

11 \cdot 2^{3 x} = 1

2^{8 p} = 2^{5 p + 15}

What is the answer to 1.13^x=2.97 ?
The answer to 1.13^x=2.97 is x=(ln(2.97))/(ln(1.13))
Solve for x: 1.13^x=2.97
The solution is x=(ln(2.97))/(ln(1.13))