What is the answer to 1.057=5^x ?

The answer to 1.057=5^x is x=(ln(1.057))/(ln(5))

Solve for x: 1.057=5^x

The solution is x=(ln(1.057))/(ln(5))

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1.057 = 5^{x}

x = \frac{ln ( 1.057 )}{ln ( 5 )}

Decimal Notation

x = 0.03444 \dots

Solution steps

1.057 = 5^{x}

Apply exponent rules

ln (1.057) = x ln (5)

Solve

ln (1.057) = x ln (5) : x = \frac{ln ( 1.057 )}{ln ( 5 )}

x = \frac{ln ( 1.057 )}{ln ( 5 )}

e^{a t}

8^{1 + x} + 2^{3 x - 1} = \frac{17}{16}

\frac{4 ^{x + 1}}{2 ^{x + 2}} = 186

e^{a x}

2^{x + 1} - 2^{- x + 2} = 7

What is the answer to 1.057=5^x ?
The answer to 1.057=5^x is x=(ln(1.057))/(ln(5))
Solve for x: 1.057=5^x
The solution is x=(ln(1.057))/(ln(5))