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

Mathematics

Adison Mason

30 March, 23:03

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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Saul · 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