Question

log 2=a and log 3 =b express log 2.25 and log 3 1 /8 in terms of a and b
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Answer 1

Answer:

Given ,

log 2 = a

log 3 = b

Now ,

log 5.4

= log 54/10

= log54 - log10

= log( 9×6 ) - 1

= log ( 3×3×3×2) - 1

= log3^3 + log 2 -1

= 3log3 + log2 -1

= 3b + a -1

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Answer 2

Question:

log 2=a and log 3 =b express log 2.25 and log 3 1 /8 in terms of a and b

Step-by-step explanation:

Given,

log=2=a

log=3=b

Now,

log 2.25

=log225/100

=log225-log100

=log(15×15)-31/8

=log(5×3×5×3)-31/8

=log(5^2×3^2)-31/8

=5log^2-3log^2-31/8

=5 b + a -31/8

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