Let log16 8 = x⇒ 16x = 8⇒ ( 2 x 2 x 2 x 2 )x = 2 x 2 x 2⇒ ( 24 )x = 23⇒ 24x = 23⇒ 4x = 3 ⇒ x = `3/4`Thus, log16 8 = `3/4`

English

Evaluate : Log16 8

Evaluate : log₁₆ 8

Sum

Let log₁₆ 8 = x
⇒ 16^x = 8
⇒ ( 2 x 2 x 2 x 2 )^x = 2 x 2 x 2
⇒ ( 2⁴ )^x = 2³⇒ 2^4x = 2³⇒ 4x = 3
⇒ x = `3/4`
Thus, log₁₆ 8 = `3/4`

shaalaa.com

Interchanging Logarithmic and Exponential Forms

Is there an error in this question or solution?

Chapter 8: Logarithms - Exercise 8 (A) [Page 104]

Chapter 8 Logarithms
Exercise 8 (A) | Q 7.5 | Page 104

Notifications

Course