Advertisements
Advertisements
Question
Solve for x:
log(x - 1) + log (x + 1) = log21
Sum
Solution
log (x - 1) + log(x + 1) = log21
⇒ log [(x - 1) (x + 1)] = 0
⇒ log [(x2 - 1)] = log 1
⇒ x2 - 1 = 1
⇒ x2 = 1 + 1
⇒ x2 = 2
⇒ x = `+- sqrt2`
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 : logaA = x
Express the following in exponential form : log101 = 0
Find the logarithm of : 32 to the base 4
Find the logarithm of : 27 to the base 9
State, true or false : If log10 x = a, then 10x = a.
State, true or false : If xy = z, then y = logzx .
Evaluate : log10 0.01
Evaluate : log5 125
If loga m = n, express an - 1 in terms of a and m.
