Advertisements
Advertisements
Question
Given log10x = 2a and log10y = `b/2`. Write 102b + 1 in terms of y.
Advertisements
Solution
log10y = `b/2`
⇒ y = 10b/2
⇒ y4 = 102b
⇒ 10y4 = 102b x 10
⇒ 102b + 1 = 10y4
APPEARS IN
RELATED QUESTIONS
If p = log 20 and q = log 25 , find the value of x , if 2log( x + 1 ) = 2p - q.
If log2(x + y) = log3(x - y) = `log 25/log 0.2`, find the values of x and y.
Evaluate: logb a × logc b × loga c.
Evaluate : log38 ÷ log916
Solve for x: `("log"289)/("log"17)` = logx
If `"log" x^2 - "log"sqrt(y)` = 1, express y in terms of x. Hence find y when x = 2.
Express the following in a form free from logarithm:
2 log x + 3 log y = log a
Express the following in a form free from logarithm:
`2"log" x + 1/2"log" y` = 1
If a b + b log a - 1 = 0, then prove that ba.ab = 10
Prove that: `(1)/("log"_2 30) + (1)/("log"_3 30) + (1)/("log"_5 30)` = 1
