What is the answer to 1.07^x=5.07 ?

The answer to 1.07^x=5.07 is x=(ln(5.07))/(ln(1.07))

Solve for x: 1.07^x=5.07

The solution is x=(ln(5.07))/(ln(1.07))

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1.0 7^{x} = 5.07

x = \frac{ln ( 5.07 )}{ln ( 1.07 )}

Decimal Notation

x = 23.99310 \dots

Solution steps

1.0 7^{x} = 5.07

Apply exponent rules

x ln (1.07) = ln (5.07)

Solve

x ln (1.07) = ln (5.07) : x = \frac{ln ( 5.07 )}{ln ( 1.07 )}

x = \frac{ln ( 5.07 )}{ln ( 1.07 )}

23 8^{x} = 512

\frac{( 1 + 7 ^{x} )}{( 1 - 7 ^{x} )} = a

4^{x} - 2^{x} = 12

5^{x} = 625

x + e^{x} = 0

What is the answer to 1.07^x=5.07 ?
The answer to 1.07^x=5.07 is x=(ln(5.07))/(ln(1.07))
Solve for x: 1.07^x=5.07
The solution is x=(ln(5.07))/(ln(1.07))