What is the answer to 5^{4x+3}=30 ?

The answer to 5^{4x+3}=30 is x=(ln(6/25))/(4ln(5))

Solve for x: 5^{4x+3}=30

The solution is x=(ln(6/25))/(4ln(5))

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5^{4 x + 3} = 30

x = \frac{ln ( \frac{6}{25} )}{4 ln ( 5 )}

Decimal

x = - 0.22167 \dots

Solution steps

5^{4 x + 3} = 30

Apply exponent rules

(4 x + 3) ln (5) = ln (30)

Solve

(4 x + 3) ln (5) = ln (30) : x = \frac{ln ( \frac{6}{25} )}{4 ln ( 5 )}

x = \frac{ln ( \frac{6}{25} )}{4 ln ( 5 )}

e^{- x} = 0.05

70 = 80 (1 - e^{- 0.02 t})

2^{5 x} = 6

e^{2 x} = e^{x} + 2

e^{x} + x + 1 = 0

What is the answer to 5^{4x+3}=30 ?
The answer to 5^{4x+3}=30 is x=(ln(6/25))/(4ln(5))
Solve for x: 5^{4x+3}=30
The solution is x=(ln(6/25))/(4ln(5))