What is the answer to 5^{(x-2)}+3=32 ?

The answer to 5^{(x-2)}+3=32 is x=(ln(29))/(ln(5))+2

Solve for x: 5^{(x-2)}+3=32

The solution is x=(ln(29))/(ln(5))+2

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5^{(x - 2)} + 3 = 32

x = \frac{ln ( 29 )}{ln ( 5 )} + 2

Solution steps

5^{(x - 2)} + 3 = 32

Move

3

to the right side

5^{x - 2} = 29

Apply exponent rules

(x - 2) ln (5) = ln (29)

Solve

(x - 2) ln (5) = ln (29) : x = \frac{ln ( 29 )}{ln ( 5 )} + 2

x = \frac{ln ( 29 )}{ln ( 5 )} + 2

lo g_{3} (x^{l o g_{3} (x) + 1}) = 2

5320 e^{x} = 14756

e^{x} + 6 e^{- x} - 5 = 0

57 = 1 5^{x}

x, x y - e^{x} + e^{y} = 0

What is the answer to 5^{(x-2)}+3=32 ?
The answer to 5^{(x-2)}+3=32 is x=(ln(29))/(ln(5))+2
Solve for x: 5^{(x-2)}+3=32
The solution is x=(ln(29))/(ln(5))+2