What is the answer to 30=20+50*10^{-0.04m} ?

The answer to 30=20+50*10^{-0.04m} is m=(ln(5))/(0.04ln(10))

Solve for m: 30=20+50*10^{-0.04m}

The solution is m=(ln(5))/(0.04ln(10))

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30 = 20 + 50 \cdot 1 0^{- 0.04 m}

m = \frac{ln ( 5 )}{0.04 ln ( 10 )}

Decimal Notation

m = 17.47425 \dots

Solution steps

30 = 20 + 50 \cdot 1 0^{- 0.04 m}

Switch sides

20 + 50 \cdot 1 0^{- 0.04 m} = 30

Move

20

to the right side

50 \cdot 1 0^{- 0.04 m} = 10

Divide both sides by

50

1 0^{- 0.04 m} = \frac{1}{5}

Apply exponent rules

- 0.04 m ln (10) = ln (\frac{1}{5})

Solve

- 0.04 m ln (10) = ln (\frac{1}{5}) : m = \frac{ln ( 5 )}{0.04 ln ( 10 )}

m = \frac{ln ( 5 )}{0.04 ln ( 10 )}

1.5 5^{x} = 9.4

\frac{8 ^{x + 1}}{1 6 ^{x}} = 3 2^{3}

5^{(x - 2)} + 3 = 32

lo g_{3} (x^{l o g_{3} (x) + 1}) = 2

5320 e^{x} = 14756

What is the answer to 30=20+50*10^{-0.04m} ?
The answer to 30=20+50*10^{-0.04m} is m=(ln(5))/(0.04ln(10))
Solve for m: 30=20+50*10^{-0.04m}
The solution is m=(ln(5))/(0.04ln(10))