Question

find the value of the following
1. logarithm base 2 of 64
2. logarithm base 3 of 81
3. logarithm base 10 of 0.001
4. logarithm base 2 of 512
5. logarithm base 81 of 3
6. logarithm base c of √c
7. logarithm base 2/3 of 8/27​

Answer 1

Answer:

• Q1 :

let log2^64 = x

2× = 64

2× = 2 ×2×2×2×2×2

2× = 2^8

x = 8 Ans

• Q2 :

let log3^81 =x

3×= 81

3×= 3×3×3×3

3×=3^4

x=4