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प्रश्न
State, true or false : log2 8 = 3 and log8 = 2 = `1/3`
योग
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उत्तर
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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Interchanging Logarithmic and Exponential Forms
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