Question

if log a[1+log b{1+log a x}]=0, then x =​

Answer 1

Answer:

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Step-by-step explanation:

We have,

log

a

(ab)=x

log

a

a+log

a

b=x [log

a

mn=log

a

m+log

a

n]

1+log

a

b=x [log

a

a=1]

log

a

b=x−1 ......(1)

Since,

=log

b

(ab)

=log

b

a+log

b

b

=log

b

a+1

=

log

a

b

1

+1 [

log

n

m

1

=log

m

n]

=

x−1

1

+1

=

x−1

1+x−1

=

x−1

x

Hence, this is the answer.