Find the value of y, if log (y + 8) + log (y - 8) = 2log ...
Find the value of y, if log (y + 8) + log (y - 8) = 2log 3 + 2log 5
y = ±5
y = ±10
y = ±17
y = ±13
Correct answer is C
log (y + 8) + log (y - 8) = 2log 3 + 2log 5
⇒ log (y + 8)(y - 8) = 2log 3 + 2log 5 (log ab = log a + log b)
⇒ log (y\(^2\) -8y + 8y - 64) = log 3\(^2\) + log 5\(^2\)
⇒ log (y\(^2\) - 64) = log 3\(^2\) + log 5\(^2\)
⇒ log (y\(^2\) - 64) = log 9 + log 25
⇒ log (y\(^2\) - 64) = log (9 × 25)
⇒ log(y\(^2\) - 64) = log 225
⇒ y\(^2\) - 64 = 225
⇒ y\(^2\) = 225 + 64
⇒ y\(^2\) = 289
⇒ y = ±√289
∴ y = ±17
A girl walks 45 meters in the direction 050o from a point Q to a point X. She then walks 24 met...
Evaluate ∫\(^{\pi}_{2}\)(sec2 x - tan2x)dx...
Find the maximum value of y in the equation y = 1 - 2x - 3x\(^2\) ...
In △LMN, |LM| = 6cm, ∠LNM = x and sin x = sin x = \(\frac{3}{5}\). Find the area of...
The sum of 6 and one-third of x is one more than twice x, find x ...