How do you write $y = 3^{4}$ $y=3^4$ in Logarithm form?

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Answer 1 · 2016-09-10T21:14:36

$y = 3^{4} \Leftrightarrow {log}_{3} y = 4$ $y = 3^4" "hArr " " log_3 y = 4$

Log form and index form are interchangeable.

${log}_{a} b = c \Leftrightarrow a^{c} = b$ $log_a b = c " " hArr " " a^c = b$

"The base stays the base and the other two change around."

$y = 3^{4} \Leftrightarrow {log}_{3} y = 4$ $y = 3^4" "hArr " " log_3 y = 4$

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