Which of the following statements is not correct?
(a) Since loga a = 1, so log10 10 = 1.
(b) log (2 + 3) = log 5 and log (2 x 3) = log 6 = log 2 + log 3
∴ log (2 + 3) ≠ log (2 x 3)
(c) Since loga 1 = 0. so logio 1 = 0.
(d) log (1 + 2 + 3) = log 6 = log (1 x 2 x 3) = log 1 + log 2 + log 3.
So. (b) is incorrect.
If log 2 = 0.3010 and log 3 = 0.4771, the value of log5 512 is:
If log 27 = 1.431, then the value of log 9 is:
∴ log 9 = log(32) = 2 log 3 = (2 x 0.477) = 0.954
If log10 7 = a, then is equal to :
If log10 2 = 0.3010, then log2 10 is equal to:
If log10 2 = 0.3010, the value of log10 80 is:
If log10 5 + log10 (5x + 1) = log10 (x + 5) + 1, then x is equal to:
log10 5 + log10 (5x + 1) = log10 (x + 5) + 1
⇒ log10 5 + log10 (5x + 1) = log10 (x + 5) + log10 10
⇒ log10 [5 (5x + 1)] = log10 [10(x + 5)]
⇒ 5(5x + 1) = 10(x + 5)
⇒ 5x + 1 = 2x + 10
⇒ 3x = 9
⇒ x = 3.
The value of is:
Given expression= log60 3 + log60 4 + log60 5
= log60 (3 x 4 x 5)
= log60 60
= 1.
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