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Question
State, true or false : log2 8 = 3 and log8 = 2 = `1/3`
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Solution
Consider the equation
log28 = 3
⇒ 23 = 8 ....(1)
Now consider the equation
log82 = `1/3`
⇒ `8^(1/3) = 2`
⇒ `(2^3)^(1/3) = 2 ` ...(2)
Both the equations (1) and (2) are correct.
Thus the given statements, log28 = 3 and log82 = `1/3` are true.
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State true or false in the following:
If log 2 8 = 3, then log 8 2 = `(1)/(3)`
