Question

Expand the following log
please help me
$log \frac{ax + by}{?cz}$
​

Answer 1

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Asked on December 30, 2019 by

Aayush Veerwal

If a

x

=b

y

=c

z

& y

2

=xz, then the value of log

b

a will be

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VIDEO EXPLANATION

ANSWER

Leta

x

=b

y

=c

z

=P

log

a

P=x

log

b

P=y

log

c

P=z

y

2

=xz

So

log

b

P⋅log

b

P=log

a

Plog

c

P

Assuming base P, we get

logb

logP

×

logb

logP

=

loga

logP

logc

logP

So we can write

logb

1

logb

1

=

loga

1

logc

1

logb

loga

=

logc

logb

log

b

a=log

c

b