What is the answer to 14*10^{0.5w}=100 ?

The answer to 14*10^{0.5w}=100 is w=(ln(50/7))/(0.5ln(10))

Solve for w: 14*10^{0.5w}=100

The solution is w=(ln(50/7))/(0.5ln(10))

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14 \cdot 1 0^{0.5 w} = 100

w = \frac{ln ( \frac{50}{7} )}{0.5 ln ( 10 )}

Decimal Notation

w = 1.70774 \dots

Solution steps

14 \cdot 1 0^{0.5 w} = 100

Divide both sides by

14

1 0^{0.5 w} = \frac{50}{7}

Apply exponent rules

0.5 w ln (10) = ln (\frac{50}{7})

Solve

0.5 w ln (10) = ln (\frac{50}{7}) : w = \frac{ln ( \frac{50}{7} )}{0.5 ln ( 10 )}

w = \frac{ln ( \frac{50}{7} )}{0.5 ln ( 10 )}

79 = 3 5^{x}

e^{(x^{2} + 2 x + 1)} = 1

5^{3 x} = 12 5^{2 x - 3}

7^{2 x + 3} = 7^{15}

2^{1 - x} = \frac{9}{4}

What is the answer to 14*10^{0.5w}=100 ?
The answer to 14*10^{0.5w}=100 is w=(ln(50/7))/(0.5ln(10))
Solve for w: 14*10^{0.5w}=100
The solution is w=(ln(50/7))/(0.5ln(10))