What is the answer to 75*3^x=375 ?

The answer to 75*3^x=375 is x=(ln(5))/(ln(3))

Solve for x: 75*3^x=375

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

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75 \cdot 3^{x} = 375

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

Decimal Notation

x = 1.46497 \dots

Solution steps

75 \cdot 3^{x} = 375

Divide both sides by

75

3^{x} = 5

Apply exponent rules

x ln (3) = ln (5)

Solve

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

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

9^{x} - 12 \times 3^{x} + 27 = 0

3^{2 x + 1} = 81

30 \cdot 3^{x} = 180

e^{2 x - 4} = 1

e^{- 3 x} - 3 e^{- 3 x} x = 0

What is the answer to 75*3^x=375 ?
The answer to 75*3^x=375 is x=(ln(5))/(ln(3))
Solve for x: 75*3^x=375
The solution is x=(ln(5))/(ln(3))