Question

Example 7 If 3 raised to x= 5 raised to y = 75 raised z, then the value of z
is
a) xy / (2x + y)
b) xy / x +2y
c) xy / x-y
d) xy / x - 2y
​

Answer 1

Answer:

Given,

3

x

=5

y

=75

z

3

x

=5

y

=75

z

=k

⇒3=k

x

1

,5=k

y

1

,75=k

z

1

5

2

×3=k

z

1

(k

y

1

)

2

×(k

x

1

)=k

z

1

By comparing powers

⇒

y

2

+

x

1

=

z

1

xy

2x+y

=

z

1

∴z=

2x+y

xy

[henceproved