Wendell is looking over some data regarding the strength, measured in Pascals (Pa), of some building materials and how the strength relates to the length. The data are represented by the exponential function f (x) = 2x, where x is the length. Explain how he can convert this equation to a logarithmic function when strength is 8 Pascals.

Question

Thaddeus Warner

Mathematics

13 October, 09:35

Wendell is looking over some data regarding the strength, measured in Pascals (Pa), of some building materials and how the strength relates to the length. The data are represented by the exponential function f (x) = 2x, where x is the length. Explain how he can convert this equation to a logarithmic function when strength is 8 Pascals.

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Answers (1)

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Kale Huff · Answer 1

x = 3

Step-by-step explanation:

exponential equation:

nb=a

logarithmic equation: logna=b

If you put in 8 for f (x) your exponential equation is

2x=8

Use the pattern above to change it to a log equation

8 = 2^x

log 8 = log 2^x = xlog 2

log 2^3 = 3log 2 = xlog 2

x = 3