What is the answer to 45=220(0.5)^x+20 ?

The answer to 45=220(0.5)^x+20 is x=(ln(5/44))/(ln(0.5))

Solve for x: 45=220(0.5)^x+20

The solution is x=(ln(5/44))/(ln(0.5))

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45 = 220 (0.5)^{x} + 20

x = \frac{ln ( \frac{5}{44} )}{ln ( 0.5 )}

Decimal Notation

x = 3.13750 \dots

Solution steps

45 = 220 (0.5)^{x} + 20

Switch sides

220 \cdot 0. 5^{x} + 20 = 45

Move

20

to the right side

220 \cdot 0. 5^{x} = 25

Divide both sides by

220

0. 5^{x} = \frac{5}{44}

Apply exponent rules

x ln (0.5) = ln (\frac{5}{44})

Solve

x ln (0.5) = ln (\frac{5}{44}) : x = \frac{ln ( \frac{5}{44} )}{ln ( 0.5 )}

x = \frac{ln ( \frac{5}{44} )}{ln ( 0.5 )}

65 = 2 5^{x}

lo g_{e} (e^{x}) = 5

(16)^{3 x} = 2

7^{3 x - 4} = 14

0 = - e^{- x}

What is the answer to 45=220(0.5)^x+20 ?
The answer to 45=220(0.5)^x+20 is x=(ln(5/44))/(ln(0.5))
Solve for x: 45=220(0.5)^x+20
The solution is x=(ln(5/44))/(ln(0.5))