What is the answer to 300*10^x=20*20^x ?

The answer to 300*10^x=20*20^x is x=(ln(15))/(ln(2))

Solve for x: 300*10^x=20*20^x

The solution is x=(ln(15))/(ln(2))

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300 \cdot 1 0^{x} = 20 \cdot 2 0^{x}

x = \frac{ln ( 15 )}{ln ( 2 )}

Decimal Notation

x = 3.90689 \dots

Solution steps

300 \cdot 1 0^{x} = 20 \cdot 2 0^{x}

Apply exponent rules

ln (300) + x ln (10) = (x + 1) ln (20)

Solve

ln (300) + x ln (10) = (x + 1) ln (20) : x = \frac{ln ( 15 )}{ln ( 2 )}

x = \frac{ln ( 15 )}{ln ( 2 )}

\frac{1}{4} = e^{- x}

3^{x + 5} = \frac{1}{27}

y, x = e^{y} - 2

(4)^{2 x - 3} = (8)^{- x}

7^{n} \cdot 7^{3} = 7^{12}

What is the answer to 300*10^x=20*20^x ?
The answer to 300*10^x=20*20^x is x=(ln(15))/(ln(2))
Solve for x: 300*10^x=20*20^x
The solution is x=(ln(15))/(ln(2))