Express the Following in Terms of Log 5 And/Or Log 2: Log80

Express the following in terms of log 5 and/or log 2: log80

Sum

log80
= log (2⁴ x 5)
= log 2⁴ + log 5
= 4 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 2.2

Prove that:

log₁₀ 125 = 3(1 - log₁₀2).

Express the following in terms of log 2 and log 3: log 216

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

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

Express the following in terms of log 2 and log 3: `"log" root(3)(144)`

Express the following in terms of log 2 and log 3: `"log"(225)/(16) - 2"log"(5)/(9) + "log"(2/3)^5`

Express the following as a single logarithm:
log 144 - log 72 + log 150 - log 50

Express the following as a single logarithm:

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

If 2 log y - log x - 3 = 0, express x in terms of y.

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