What is the answer to 1.0075^x=1.251445278 ?

The answer to 1.0075^x=1.251445278 is x=(ln(1.25144…))/(ln(1.0075))

Solve for x: 1.0075^x=1.251445278

The solution is x=(ln(1.25144…))/(ln(1.0075))

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1.007 5^{x} = 1.251445278

x = \frac{ln ( 1.25144 \dots )}{ln ( 1.0075 )}

Decimal Notation

x = 30.01855 \dots

Solution steps

1.007 5^{x} = 1.25144 \dots

Apply exponent rules

x ln (1.0075) = ln (1.25144 \dots)

Solve

x ln (1.0075) = ln (1.25144 \dots) : x = \frac{ln ( 1.25144 \dots )}{ln ( 1.0075 )}

x = \frac{ln ( 1.25144 \dots )}{ln ( 1.0075 )}

x, 6 4^{x} = 1 6^{y}

5 \cdot e^{x} = 18

7.01 = 3^{2 x} - 2.4

x, y = 1.0251 e^{- 0.418 x}

e^{- \frac{10}{x}} = 1

What is the answer to 1.0075^x=1.251445278 ?
The answer to 1.0075^x=1.251445278 is x=(ln(1.25144…))/(ln(1.0075))
Solve for x: 1.0075^x=1.251445278
The solution is x=(ln(1.25144…))/(ln(1.0075))