How do you change # 2^0.4 = 1.320# into log form?

1 Answer
EZ as pi
Sep 10, 2016

#2^0.4 = 1.320 hArr log_2 1.320 = 0.4#

Explanation:

log form and index form give the same information and are interchangeable.

#log_a b = c hArr a^c = b#

"The base stays the base and the other two swop around"

#2^0.4 = 1.320 hArr log_2 1.320 = 0.4#

In index form: #2^1 = 2, " so " 2^0.4# will be less than 2.
The value 1.320 seems reasonable.

In log form, the question is, "What power or index of 2 will give 0.4?"

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