Question

If log9=0.9542. Find log243.

Answer 1

the value of log 243 is 2.3855

• Now log 9 = log (3)^2 = 2 log 3 ( Using the property of logarithm)
• Hence log 3 = 0.9542/2 = 0.4771
• Now log 243 = log (3)^5 = 5 log 3 (Using the property of logarithm)
• hence log 243 = 5 * 0.4771 = 2.3856
• Hence we got the required answer of value of log 243 as 2.3855

Answer 2

The value of $\log 243$ = 2.3855  

Step-by-step explanation:

We have,

$\log9$ = 0.9542

To find, the value of $\log 243$ = ?

∴ $\log 243$

= $\log 3^5$

= $5\log 3$                              ...... (1)

Using the logarithm identity,

$\log a^m = m\log a$

∵ $\log9$ = 0.9542

⇒ $\log 3^2$ = 0.9542

⇒ $2\log 3$ = 0.9542

⇒ $\log 3 = \dfrac{0.9542}{2} =0.4771$   ....... (2)

From equations (1) and (2), we get

$5\log 3$ = 5 ×  0.4771 = 2.3855  

∴ The value of $\log 243$ = 2.3855