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xenn [34]
3 years ago
10

Is it possible for the function f(x) - 5 x 2^x to have an output of 200?

Mathematics
1 answer:
Advocard [28]3 years ago
8 0

Answer:

The solution is possible

Step-by-step explanation:

Given

f(x) = 5 * 2^x

Required

Is an output of 200, possible?

To know if it is possible or not, we start by substituting 200 for f(x)

200 = 5 * 2^x

Divide both sides by 5

\frac{200}{5} = \frac{5}{5} * 2^x

\frac{200}{5} =  2^x

40 =  2^x

2^x =40

Take logarithm of both sides

log2^x =log40

Apply law of logarithm

xlog2 =log40

Divide both sides by log2

x = \frac{log40}{log2}

x = \frac{1.6021}{0.3010}

x = 5.32

for f(x) = 200, x is approximately 5.32

Hence, the solution is possible

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