What is the answer to 100-100(1/4)^x=70 ?

The answer to 100-100(1/4)^x=70 is x=-(ln(3/10))/(2ln(2))

Solve for x: 100-100(1/4)^x=70

The solution is x=-(ln(3/10))/(2ln(2))

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100 - 100 (\frac{1}{4})^{x} = 70

x = - \frac{ln ( \frac{3}{10} )}{2 ln ( 2 )}

Decimal Notation

x = 0.86848 \dots

Solution steps

100 - 100 (\frac{1}{4})^{x} = 70

Move

100

to the right side

- 100 (\frac{1}{4})^{x} = - 30

Divide both sides by

- 100

(\frac{1}{4})^{x} = \frac{3}{10}

Apply exponent rules

x ln (\frac{1}{4}) = ln (\frac{3}{10})

Solve

x ln (\frac{1}{4}) = ln (\frac{3}{10}) : x = - \frac{ln ( \frac{3}{10} )}{2 ln ( 2 )}

x = - \frac{ln ( \frac{3}{10} )}{2 ln ( 2 )}

4 (5^{x}) = 10

5^{x + 1} + 4 (5^{x}) = 45

12 5^{2 x + 5} = 62 5^{x + 4}

What is the answer to 100-100(1/4)^x=70 ?
The answer to 100-100(1/4)^x=70 is x=-(ln(3/10))/(2ln(2))
Solve for x: 100-100(1/4)^x=70
The solution is x=-(ln(3/10))/(2ln(2))