topic badge

2.9 Logarithmic expressions

Interactive practice questions

Simplify each of the following expressions without using a calculator. Leave answers in exact form.

a

$\log_{10}5+\log_{10}7-\log_{10}3$log105+log107log103

b

$\frac{\log_{10}4}{\log_{10}2}$log104log102

Medium
2min

Consider the following.

Medium
1min

Consider the following.

Medium
1min

Given that $a>1$a>1, fully simplify the expression $\log_a\left(a^9\right)$loga(a9).

Medium
< 1min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

2.9.A

Evaluate logarithmic expressions.

What is Mathspace

About Mathspace