What is the answer to 5^{x-3}=600 ?

The answer to 5^{x-3}=600 is x=(ln(600))/(ln(5))+3

Solve for x: 5^{x-3}=600

The solution is x=(ln(600))/(ln(5))+3

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5^{x - 3} = 600

x = \frac{ln ( 600 )}{ln ( 5 )} + 3

Decimal

x = 6.97463 \dots

Solution steps

5^{x - 3} = 600

Apply exponent rules

(x - 3) ln (5) = ln (600)

Solve

(x - 3) ln (5) = ln (600) : x = \frac{ln ( 600 )}{ln ( 5 )} + 3

x = \frac{ln ( 600 )}{ln ( 5 )} + 3

e^{x} - 3 x - 7

3^{3 x + 1} = 27

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

18 e^{6 x} = 2

2^{2 x} - 3 \times 2^{x} = - 2

What is the answer to 5^{x-3}=600 ?
The answer to 5^{x-3}=600 is x=(ln(600))/(ln(5))+3
Solve for x: 5^{x-3}=600
The solution is x=(ln(600))/(ln(5))+3