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Pearson Algebra 2 Common Core, 2011

PA

Pearson Algebra 2 Common Core, 2011 View details

End-of-Course Assessment

Finish the assignment

Exercise 69 Page 970

Use a calculator after applying the Change of Base Formula.

C

Practice makes perfect

We want to use the Change of Base Formula to evaluate the given expression. log_b m = log_c m/log_c bIn the above formula, m, b, and c are positive numbers, with b≠ 1 and c≠ 1. We will apply this formula to our expression. log_2 3.2 = log 3.2/log 2 Recall that if the base of a logarithm is not stated, it is 10. For example, log 3.2 = log_(10) 3.2. Logarithms with this base are called common logarithms, and can be found using a calculator.

log 3.2/log 2

Calculate logarithm

0.505149.../0.301029...

Use a calculator

1.678071 ...

Round to 1 decimal place(s)

1.7

This corresponds to option C.

Subchapter links

Exercises p.964-971