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 10: Logarithms - Exercise 10.2

Chapter 10 Logarithms
Exercise 10.2 | Q 2.4

If log (a + b) = log a + log b, find a in terms of b.

Express the following in terms of log 2 and log 3: log 36

Express the following in terms of log 2 and log 3: log 54

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

Write the logarithmic equation for:

V = `(1)/("D"l) sqrt("T"/(pi"r")`

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

Express the following as a single logarithm:

`2"log"(9)/(5) - 3"log"(3)/(5) + "log"(16)/(20)`

Simplify the following:

`2"log" 7 + 3 "log" 5 - "log"(49)/(8)`

If log 2 = 0.3010, log 3 = 0.4771 and log 5 = 0.6990, find the values of: log540

If log 4 = 0.6020, find the value of each of the following: log8