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

Sum

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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Chapter 7: Logarithms - Exercise 10.2

Chapter 7 Logarithms
Exercise 10.2 | Q 2.4

If 3( log 5 - log 3 ) - ( log 5 - 2 log 6 ) = 2 - log x, find x.

If log 2 = 0.3010 and log 3 = 0.4771; find the value of : log 15

If log₁₀ 8 = 0.90; find the value of : log√32

Given: log₃ m = x and log₃n = y.

Write down `3^(1 - 2y + 3x)` in terms of m and n.

Express the following in terms of log 2 and log 3: log 648

Express the following in terms of log 5 and/or log 2: log20

Express the following as a single logarithm:
log 18 + log 25 - log 30

Simplify the following:

`12"log" (3)/(2) + 7 "log" (125)/(27) - 5 "log" (25)/(36) - 7 "log" 25 + "log" (16)/(3)`

If log 2 = 0.3010, log 3 = 0.4771 and log 5 = 0.6990, find the values of: `"log" sqrt(72)`

If log 27 = 1.431, find the value of the following: log300