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Exponential and Logarithmic Functions

Please explain the steps in solving the following problems in the attachment:
#12, 14, 16, 18, 26, 28, 36, 38

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Note: In all the solutions below, log means logarithm to base 10 and ln means logarithm to base e.]

(12) 0.98^x = 1.6

Taking logarithms on both sides we have

x * ln 0.98 = ln 1.6

x = ln 1.6 / ln 0.98 = -23.26

(14) 80 e^0.045x = 240

e^0.045x = 240/80 = 3

Taking logarithms on both sides we have

0.045x ln e = ln 3

0.045x = ln 3

x = ln 3 / 0.045 = 24.41

(16) 7 - 3 e^-x = 2

3 ...

Solution Summary

8 practice questions on exponential and logarithmic functions are solved step-by-step.

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