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1 of 8 0-day streak

Lesson Practice

Connect exponential and logarithmic forms

DIFFICULTYintro standard challenge exam

QUESTION TYPEMix of allChange

exponential-to-log, above-one, positive-integer exponent log-to-exponential, above-one, positive-integer exponent NOWMix of allRecommended

Question 1 of 8

No calculator

Consider the relation below

3^{4}=81

Keep the base, exponent and positive argument in exact form

(a)1 mark

Identify the exact logarithmic form

\log_{3}\left(-81\right)=4

\log_{1}\left(81\right)=4

\log_{81}\left(3\right)=4

\log_{3}\left(81\right)=4

(b)3 marks

Complete the table using the base, exponent and positive argument in the displayed relation

base a exponent x positive argument n