What is the answer to 6^{x-1}=271 ?

The answer to 6^{x-1}=271 is x=(ln(271))/(ln(6))+1

Solve for x: 6^{x-1}=271

The solution is x=(ln(271))/(ln(6))+1

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6^{x - 1} = 271

x = \frac{ln ( 271 )}{ln ( 6 )} + 1

Decimal Notation

x = 4.12660 \dots

Solution steps

6^{x - 1} = 271

Apply exponent rules

(x - 1) ln (6) = ln (271)

Solve

(x - 1) ln (6) = ln (271) : x = \frac{ln ( 271 )}{ln ( 6 )} + 1

x = \frac{ln ( 271 )}{ln ( 6 )} + 1

6^{1 + x} = \frac{1}{3 6 ^{4 x + 2}}

e^{x + π} = π^{x + e}

2^{2 x} - 2^{x + 1} + 2^{0} = 0

e^{2 x + 3} = 3

2^{3 x + 1} - 2^{3 x - 1} = 96

What is the answer to 6^{x-1}=271 ?
The answer to 6^{x-1}=271 is x=(ln(271))/(ln(6))+1
Solve for x: 6^{x-1}=271
The solution is x=(ln(271))/(ln(6))+1