What is the answer to 5^{4x+2}=37500 ?

The answer to 5^{4x+2}=37500 is x=(ln(1500))/(4ln(5))

Solve for x: 5^{4x+2}=37500

The solution is x=(ln(1500))/(4ln(5))

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5^{4 x + 2} = 37500

x = \frac{ln ( 1500 )}{4 ln ( 5 )}

Decimal Notation

x = 1.13598 \dots

Solution steps

5^{4 x + 2} = 37500

Apply exponent rules

(4 x + 2) ln (5) = ln (37500)

Solve

(4 x + 2) ln (5) = ln (37500) : x = \frac{ln ( 1500 )}{4 ln ( 5 )}

x = \frac{ln ( 1500 )}{4 ln ( 5 )}

8 \cdot 5^{- \frac{t}{9}} = 346

x^{2} e^{x} = 0

3 e^{2 x} = 7

2^{3 x - 1} = 1

(7^{2})^{x} = 343

What is the answer to 5^{4x+2}=37500 ?
The answer to 5^{4x+2}=37500 is x=(ln(1500))/(4ln(5))
Solve for x: 5^{4x+2}=37500
The solution is x=(ln(1500))/(4ln(5))