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:
10–3 = 0.001
Express the following in exponential form : logaA = x
Find the logarithm of : 100 to the base 10
Find the logarithm of : 0.001 to the base 10
State, true or false : If log10 x = a, then 10x = a.
Find x, if : log9243 = x
Evaluate : log10 0.01
Evaluate : log16 8
If log2x = a and log3 y = a, write 72a in terms of x and y.
If log (x2 - 21) = 2, show that x = ± 11.
