Advertisements
Advertisements
Question
Find the value of: log 8 2
Sum
Advertisements
Solution
log 8 2
Let log 8 2 = x
⇒ 2 = 8x
⇒ (23)x = 2
⇒ 23x = 21
⇒ x = `(1)/(3)`
∴ 3x = 1.
shaalaa.com
Interchanging Logarithmic and Exponential Forms - Logarithmic to Exponential
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Express the following in the exponential form:
`"log"_sqrt(6) (6sqrt(6))` = 3
Find x in the following when: log x 125 = 3
Find x in the following when: log 8 x = `(2)/(3)`
Find x in the following when: log 7 x = 3
Find the value of: log 0.0110
Find the value of: log 5 `(1)/(25)`
If log 10 x = a, express the following in terms of x : 10 2a
If log 10 m = n, express the following in terms of m: 10 -3n
If log 10 x = a, log 10 y = b and log 10 z = 2a - 3b, express z in terms of x and y.
If log 10 a = x, and log 10 c = z, find
`10^(x-y+z)` in terms of a, b and c
