What is the answer to 25*3^{0.3x}=250 ?

The answer to 25*3^{0.3x}=250 is x=(ln(10))/(0.3ln(3))

Solve for x: 25*3^{0.3x}=250

The solution is x=(ln(10))/(0.3ln(3))

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25 \cdot 3^{0.3 x} = 250

x = \frac{ln ( 10 )}{0.3 ln ( 3 )}

Decimal Notation

x = 6.98634 \dots

Solution steps

25 \cdot 3^{0.3 x} = 250

Divide both sides by

25

3^{0.3 x} = 10

Apply exponent rules

0.3 x ln (3) = ln (10)

Solve

0.3 x ln (3) = ln (10) : x = \frac{ln ( 10 )}{0.3 ln ( 3 )}

x = \frac{ln ( 10 )}{0.3 ln ( 3 )}

(e^{x} - 1) (e^{x} + 1) = 0

(\frac{1}{5})^{x} = 25

e^{x} = 42

25 \cdot 1.00 5^{t} = 31

5^{2 x - 1} = 1

What is the answer to 25*3^{0.3x}=250 ?
The answer to 25*3^{0.3x}=250 is x=(ln(10))/(0.3ln(3))
Solve for x: 25*3^{0.3x}=250
The solution is x=(ln(10))/(0.3ln(3))