What is the answer to 5^{x-3}=10 ?

The answer to 5^{x-3}=10 is x=(ln(10))/(ln(5))+3

Solve for x: 5^{x-3}=10

The solution is x=(ln(10))/(ln(5))+3

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5^{x - 3} = 10

x = \frac{ln ( 10 )}{ln ( 5 )} + 3

Decimal Notation

x = 4.43067 \dots

Solution steps

5^{x - 3} = 10

Apply exponent rules

(x - 3) ln (5) = ln (10)

Solve

(x - 3) ln (5) = ln (10) : x = \frac{ln ( 10 )}{ln ( 5 )} + 3

x = \frac{ln ( 10 )}{ln ( 5 )} + 3

x, 2^{x} - 2^{y} = 128

6 = 12 \cdot 5^{- k^{20}}

7^{- x} \cdot 7^{- x} = 343

0 = 10 e^{0.002 x}

6^{4 x - 4} = 1

What is the answer to 5^{x-3}=10 ?
The answer to 5^{x-3}=10 is x=(ln(10))/(ln(5))+3
Solve for x: 5^{x-3}=10
The solution is x=(ln(10))/(ln(5))+3