Solve for x and y; if x 0 and y 0 : log xy = log + 2 log 2 = 2.

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KnowledgeBoat · Accepted Answer

Given, ⇒ log xy = log + 2 log 2 = 2 ........(1) Solving L.H.S. of the equation : From equation (1), we get : ⇒ log xy = 2 ⇒ log x(2) = 2 ⇒ log 2x = 2 ⇒ log 2x = 2log 10 ⇒ log 2x = log 10² ⇒ 2x = 10² ⇒ 2x = 100 ⇒ x = = 50. Hence, x = 50 and y = 2.

Mathematics

Solve for x and y; if x 0 and y 0 : log xy = log + 2 log 2 = 2.

Logarithms

Related Questions

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Mathematics

Solve for x and y; if x 0 and y 0 : log xy = log + 2 log 2 = 2.

Logarithms

Related Questions

If m = log 20 and n = log 25, find the value of x, so that : 2 log (x - 4) = 2m - n

Find x, if :logx 625 = -4

Find x, if :logx (5x - 6) = 2

Find x, if :
log_x 625 = -4

Find x, if :
log_x (5x - 6) = 2