What is the answer to 6^{x-10}=4 ?

The answer to 6^{x-10}=4 is x=(2ln(2))/(ln(6))+10

Solve for x: 6^{x-10}=4

The solution is x=(2ln(2))/(ln(6))+10

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6^{x - 10} = 4

x = \frac{2 ln ( 2 )}{ln ( 6 )} + 10

Decimal Notation

x = 10.77370 \dots

Solution steps

6^{x - 10} = 4

Apply exponent rules

(x - 10) ln (6) = ln (4)

Solve

(x - 10) ln (6) = ln (4) : x = \frac{2 ln ( 2 )}{ln ( 6 )} + 10

x = \frac{2 ln ( 2 )}{ln ( 6 )} + 10

e^{2 x + 3} = 7

2 x = 2^{x}

3^{- x + 1} = 9^{x + 2}

4^{x} = 17

4^{x} = 12

What is the answer to 6^{x-10}=4 ?
The answer to 6^{x-10}=4 is x=(2ln(2))/(ln(6))+10
Solve for x: 6^{x-10}=4
The solution is x=(2ln(2))/(ln(6))+10