What is the answer to 0.75*10^{w/3}=30 ?

The answer to 0.75*10^{w/3}=30 is w=(3ln(40))/(ln(10))

Solve for w: 0.75*10^{w/3}=30

The solution is w=(3ln(40))/(ln(10))

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0.75 \cdot 1 0^{\frac{w}{3}} = 30

w = \frac{3 ln ( 40 )}{ln ( 10 )}

Decimal Notation

w = 4.80617 \dots

Solution steps

0.75 \cdot 1 0^{\frac{w}{3}} = 30

Divide both sides by

0.75

1 0^{\frac{w}{3}} = 40

Apply exponent rules

\frac{w}{3} ln (10) = ln (40)

Solve

\frac{w}{3} ln (10) = ln (40) : w = \frac{3 ln ( 40 )}{ln ( 10 )}

w = \frac{3 ln ( 40 )}{ln ( 10 )}

x^{x} = 9

\frac{17}{20} = A^{0} e^{k (600)}

x, y = e^{- x^{2}}

2^{x} + 2^{6 - x} = 16

500 = 100 (2^{\frac{t}{5}})

What is the answer to 0.75*10^{w/3}=30 ?
The answer to 0.75*10^{w/3}=30 is w=(3ln(40))/(ln(10))
Solve for w: 0.75*10^{w/3}=30
The solution is w=(3ln(40))/(ln(10))