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Question
State, true of false:
If `("log"49)/("log"7)` = log y, then y = 100.
Options
True
False
Solution
True.
`("log"49)/("log"7)` = log y
⇒ `("log"7^2)/("log"7)` = log y
⇒ `(2"log"7)/("log"7)` = log y
⇒ 2(1) = log y
⇒ 2log10 10 = log y
⇒ log10 102 = log10 y
⇒ log10 100 = log10 y
⇒ y = 100.
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