Write $3^{5} = 243$ in logarithmic form.

Open in App

Solution

$3^{5} = 243$

Applying $log$ both sides, we get

${log}_{3} 3^{5} = {log}_{3} 243$

$\Rightarrow 5 {log}_{3} 3 = {log}_{3} 243$ (using $log a^{m} = m log a$ )

$\Rightarrow 5 = {log}_{3} 243$ (using ${log}_{a} a = 1$ )

$∴ {log}_{3} 243 = 5$

Suggest Corrections

Similar questions

2^{10} = 1024

3^{- 4} = \frac{1}{81}

2^{4} = 16

3^{5} = 243

10^{- 1} = 0.1

8^{- \frac{2}{3}} = \frac{1}{4}

25^{\frac{1}{2}} = 5

12^{- 2} = \frac{1}{144}

Write 5⁴5 = 2502 in logarithmic form

8^{3} = 512

32^{3 / 5} = 8

7^{- 2} = \frac{1}{49}

10^{- 2} = 0.01

Join BYJU'S Learning Program