What is the answer to 84*2^x=420 ?

The answer to 84*2^x=420 is x=(ln(5))/(ln(2))

Solve for x: 84*2^x=420

The solution is x=(ln(5))/(ln(2))

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84 \cdot 2^{x} = 420

x = \frac{ln ( 5 )}{ln ( 2 )}

Decimal

x = 2.32192 \dots

Solution steps

84 \cdot 2^{x} = 420

Divide both sides by

84

2^{x} = 5

Apply exponent rules

x ln (2) = ln (5)

Solve

x ln (2) = ln (5) : x = \frac{ln ( 5 )}{ln ( 2 )}

x = \frac{ln ( 5 )}{ln ( 2 )}

3. 6^{N} = \frac{58.415}{1.364}

e^{4 x} = 10

10 0^{n} = 2

\frac{17}{327} = e^{- 9.22 \cdot 1 0^{- 4} t}

5^{3 x} = 5^{7 x - 2}

What is the answer to 84*2^x=420 ?
The answer to 84*2^x=420 is x=(ln(5))/(ln(2))
Solve for x: 84*2^x=420
The solution is x=(ln(5))/(ln(2))