Advertisements
Advertisements
Question
Solve for x, if : logx49 - logx7 + logx `1/343` + 2 = 0
Advertisements
Solution
logx49 - logx7 + logx `1/343` + 2 = 0
⇒ logx49 - logx7 + logx (343)-1 = - 2
⇒ logx49 - logx7 - logx (343) = - 2
⇒ logx`[49/[7 xx 343]]` = - 2
⇒ logx`[1/49]` = - 2
⇒ x-2 = `1/49`
⇒ `1/x^2=1/49`
⇒ x2 = 49
⇒ x = `sqrt49`
⇒ x = 7
APPEARS IN
RELATED QUESTIONS
If x = log 0.6; y = log 1.25 and z = log 3 - 2 log 2, find the values of :
(i) x+y- z
(ii) 5x + y - z
If a2 + b2 = 23ab, show that:
log `(a + b)/5 = 1/2`(log a + log b).
Show that : loga m ÷ logab m + 1 + log ab
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: `(log_5 8)/(log_25 16 xx Log_100 10)`
Solve the following:
log 8 (x2 - 1) - log 8 (3x + 9) = 0
Prove that log (1 + 2 + 3) = log 1 + log 2 + log 3. Is it true for any three numbers x, y, z?
If log (a + 1) = log (4a - 3) - log 3; find a.
If `"a" = "log""p"^2/"qr", "b" = "log""q"^2/"rp", "c" = "log""r"^2/"pq"`, find the value of a + b + c.
