Express Log102 + 1 in the Form of Log10x.

Express log₁₀2 + 1 in the form of log₁₀x .

Sum

log₁₀2 + 1

= log₁₀2 + log₁₀10 ....[ ∵ log₁₀10 = 1 ]

= log₁₀2 x 10 ....[ log_am + log_an = log_amn ]

= log₁₀20.

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Laws of Logarithm

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Chapter 8: Logarithms - Exercise 8 (B) [Page 106]

Chapter 8 Logarithms
Exercise 8 (B) | Q 6 | Page 106

Express in terms of log 2 and log 3:

log 144

Express in terms of log 2 and log 3 : log 4.5

Express in terms of log 2 and log 3:

`log26/51 - log91/119`

Express the following in a form free from logarithm:
2 log x + 3 log y = log a

Express the following in a form free from logarithm:
a log x - b log y = 2 log 3

Solve for x : log (x + 5) + log (x - 5) = 4 log 2 + 2 log 3

Solve for x : `(log 81)/(log27 )` = x

If log 2 = 0.3010 and log 3 = 0.4771; find the value of : log 25

Solve for x : ` (log 64)/(log 8)` = log x

Given that log x = m + n and log y = m - n, express the value of log ` ( 10x ) / ( y ^ 2 )` in terms of m and n.