6.03 Solving equations with logarithms

Interactive practice questions

If $\log_216=x$log216=x, write the value of $x$x in simplest form.

Easy

< 1min

If $\log_{12}144=x$log12144=x, write the value of $x$x in simplest form.

Medium

< 1min

Solve $\log_7y=5$log7y=5 for $y$y.

Easy

< 1min

Solve $\log_3x=4$log3x=4.

Easy

< 1min

recognise the inverse relationship between logarithms and exponentials: y=a^x is equivalent to x=log_a ⁡y

solve equations involving indices using logarithms

solve simple equations involving logarithmic functions algebraically and graphically