Write the expression as a logarithm of a single expression.

Question

Write the expression as a logarithm of a single expression. 

 

Log 5 + Log 8 - Log 4 = Log ?

Answer 1

Hi Keith;

Should we begin with the + or -.

Let's remember the algebraic order of operations...

Parentheses

Exponential

Multiplication

Division

Addition

Subtraction

The acronym for this is PEMDAS...Please excuse my Dear Aunt Sally.

The Aunt (addition) comes before Sally (subtraction).

We will begin with addition.

Log 5 + Log 8 - Log 4 = Log ?

log 5 + log 8

Let's apply the principle...

log ab=log a + log b

log [(5)(8)]

log 40

log 40 - log 4

Let's apply the principle...

log a/b=log a - log b

log (40/4)

log 10