Express the Following in Terms of Log 5 And/Or Log 2: Log160

Express the following in terms of log 5 and/or log 2: log160

बेरीज

log160
= log (2⁵ x 5)
= log 2⁵ + log 5
= 5 log 2 + log 5.

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Expansion of Expressions with the Help of Laws of Logarithm

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पाठ 10: Logarithms - Exercise 10.2

पाठ 10 Logarithms
Exercise 10.2 | Q 2.4

If x = (100)^a , y = (10000)^b and z = (10)^c , find log`(10sqrty)/( x^2z^3)` in terms of a, b and c.

Given 2 log₁₀ x + 1 = log₁₀ 250, find :
(i) x
(ii) log₁₀ 2x

If log 2 = 0.3010 and log 3 = 0.4771 ; find the value of : log 12

Given `log_x 25 - log_x 5 = 2 - log_x (1/125)` ; find x.

Express the following as a single logarithm:

`(1)/(2)"log"25 - 2"log"3 + "log"36`

Express the following as a single logarithm:

`"log"(81)/(8) - 2"log"(3)/(5) + 3"log"(2)/(5) + "log"(25)/(9)`

If log 16 = a, log 9 = b and log 5 = c, evaluate the following in terms of a, b, c: log 75

If log 2 = x and log 3 = y, find the value of each of the following on terms of x and y: log60

If log 8 = 0.90, find the value of each of the following: log4

Find the value of:

`("log"sqrt(27) + "log"8 + "log"sqrt(1000))/("log"120)`