Question

the derivative of log_(10)x wrt log_(x) 10 is ​

Answer 1

Step-by-step explanation:

Let y=log

10

x and z=log

x

10

We have to find the value of

dz

dy

Now using base change formula yz=

log10

logx

⋅

logx

log10

=1

⇒y=

z

1

⇒

dz

dy

=−

z

2

1

=−y

2

=−(log

10

x)

2

Since

z

1

=y