What is the answer to (10^{3x})/(10^x)=30 ?

The answer to (10^{3x})/(10^x)=30 is x=(ln(30))/(2ln(10))

Solve for x: (10^{3x})/(10^x)=30

The solution is x=(ln(30))/(2ln(10))

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\frac{1 0 ^{3 x}}{1 0 ^{x}} = 30

x = \frac{ln ( 30 )}{2 ln ( 10 )}

Decimal Notation

x = 0.73856 \dots

Solution steps

\frac{1 0 ^{3 x}}{1 0 ^{x}} = 30

Apply exponent rules

2 x ln (10) = ln (30)

Solve

2 x ln (10) = ln (30) : x = \frac{ln ( 30 )}{2 ln ( 10 )}

x = \frac{ln ( 30 )}{2 ln ( 10 )}

Verify Solutions:

x = \frac{ln ( 30 )}{2 ln ( 10 )}

True

The solution is

x = \frac{ln ( 30 )}{2 ln ( 10 )}

50 = 400 e^{- 0.0115 t}

x, e^{\frac{x}{2}} = 4 l n x

2^{- b} = 1

5^{5 - x} = \frac{1}{25}

x, 312 5^{x + 4} = 2 5^{2 x}

What is the answer to (10^{3x})/(10^x)=30 ?
The answer to (10^{3x})/(10^x)=30 is x=(ln(30))/(2ln(10))
Solve for x: (10^{3x})/(10^x)=30
The solution is x=(ln(30))/(2ln(10))