Advertisements
Advertisements
Question
Find the logarithm of : 32 to the base 4
Sum
Advertisements
Solution
Let log432 = x
∴ 4x = 32
⇒ (22)x = 2 x 2 x 2 x 2 x 2
⇒ 22x = 25
⇒ 2x = 5 .....[ If am = an ; then m = n ]
⇒ x = `5/2`
∴ log432 = `5/2`
shaalaa.com
Interchanging Logarithmic and Exponential Forms
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Express the following in logarithmic form:
`3^-2 = 1/9`
Express the following in exponential form : log101 = 0
Find x, if : logx 2 = - 1.
Find x, if : log9243 = x
Evaluate : log10 0.01
Evaluate : log5 1
If loga m = n, express an - 1 in terms of a and m.
Given log5 y = n. Express 53n + 2 in terms of y.
If log2x = a and log3 y = a, write 72a in terms of x and y.
State true or false in the following:
If log 2 8 = 3, then log 8 2 = `(1)/(3)`
