What is the answer to 5^{x-10}=6 ?

The answer to 5^{x-10}=6 is x=(ln(6))/(ln(5))+10

Solve for x: 5^{x-10}=6

The solution is x=(ln(6))/(ln(5))+10

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5^{x - 10} = 6

x = \frac{ln ( 6 )}{ln ( 5 )} + 10

Decimal Notation

x = 11.11328 \dots

Solution steps

5^{x - 10} = 6

Apply exponent rules

(x - 10) ln (5) = ln (6)

Solve

(x - 10) ln (5) = ln (6) : x = \frac{ln ( 6 )}{ln ( 5 )} + 10

x = \frac{ln ( 6 )}{ln ( 5 )} + 10

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

e^{x} - 5 = 0

2^{n} = 3.6 \cdot 1 0^{13}

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

What is the answer to 5^{x-10}=6 ?
The answer to 5^{x-10}=6 is x=(ln(6))/(ln(5))+10
Solve for x: 5^{x-10}=6
The solution is x=(ln(6))/(ln(5))+10