What is the answer to 300*2^{0.02x}=9000 ?

The answer to 300*2^{0.02x}=9000 is x=(ln(30))/(0.02ln(2))

Solve for x: 300*2^{0.02x}=9000

The solution is x=(ln(30))/(0.02ln(2))

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300 \cdot 2^{0.02 x} = 9000

x = \frac{ln ( 30 )}{0.02 ln ( 2 )}

Decimal Notation

x = 245.34452 \dots

Solution steps

300 \cdot 2^{0.02 x} = 9000

Divide both sides by

300

2^{0.02 x} = 30

Apply exponent rules

0.02 x ln (2) = ln (30)

Solve

0.02 x ln (2) = ln (30) : x = \frac{ln ( 30 )}{0.02 ln ( 2 )}

x = \frac{ln ( 30 )}{0.02 ln ( 2 )}

87.88 e^{3 r} = 263.64

7 \cdot 1 0^{x} - 49 = 0

e^{2 x} - 2 \cdot e^{x} - 3 = 0

4^{3 X - 5} = 64

What is the answer to 300*2^{0.02x}=9000 ?
The answer to 300*2^{0.02x}=9000 is x=(ln(30))/(0.02ln(2))
Solve for x: 300*2^{0.02x}=9000
The solution is x=(ln(30))/(0.02ln(2))