What is the answer to 6^{x-2}= 1/4 ?

The answer to 6^{x-2}= 1/4 is x=-(2ln(2))/(ln(6))+2

Solve for x: 6^{x-2}= 1/4

The solution is x=-(2ln(2))/(ln(6))+2

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6^{x - 2} = \frac{1}{4}

x = - \frac{2 ln ( 2 )}{ln ( 6 )} + 2

Decimal Notation

x = 1.22629 \dots

Solution steps

6^{x - 2} = \frac{1}{4}

Apply exponent rules

(x - 2) ln (6) = ln (\frac{1}{4})

Solve

(x - 2) ln (6) = ln (\frac{1}{4}) : x = - \frac{2 ln ( 2 )}{ln ( 6 )} + 2

x = - \frac{2 ln ( 2 )}{ln ( 6 )} + 2

500 = 30 e^{x}

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

4^{x + 6} = 7

4^{3 x + 5} = 16

5^{1 - 2 x} = \frac{1}{5}

What is the answer to 6^{x-2}= 1/4 ?
The answer to 6^{x-2}= 1/4 is x=-(2ln(2))/(ln(6))+2
Solve for x: 6^{x-2}= 1/4
The solution is x=-(2ln(2))/(ln(6))+2