Question

20. Find the value of x if log (x-2) + log (x-3) = log 2
Answer:​

Answer 1

Step-by-step explanation:

Use the property of condensation of logarithmic function

Given,

log

(

x

−

2

)

−

log

(

2

x

−

3

)

=

log

(

2

)

or

,

log

(

x

−

2

2

x

−

3

)

=

log

(

2

)

or

,

10

log

(

x

−

2

2

x

−

3

)

=

10

log

(

2

)

or

,

x

−

2

2

x

−

3

=

2

or

,

(

x

−

2

)

=

2

(

2

x

−

3

)

or

,

(

x

−

2

)

=

4

x

−

6

or

,

−

2

+

6

=

4

x

−

x

or

,

4

=

3

x

∴

x

=

4

3