5a = 4 => a log2 5 = 2 => log2 5 = 2/a
3b = 4 => b log2 3 = 2 => log2 3 = 2/b
log2 9 = 4/b
log2 1.8 = log2 (9/5) = log2 9 - log2 5 = (4/a) - (2/b)
Sava D.
tutor
Ryn,
From 5a = 4 you can derive the last part. You need to change the base, which would be easy if you raise the two sides to power of (1/a). Then,
5a•(1/a) = 4(1/a) ,
5 = 22(1/a),
5 = 22/a,
We can re-write this in log form:
log25 = 2/a.
The same way
log23 = 2/b.
Then, the rest follows.
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07/04/18
Arthur D.
tutor
Very nice solution, Paul.
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07/04/18
Ryn 0.
Ahh i see.. Thank you for the explanation
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07/04/18
Ryn 0.
07/04/18