Logarithm Verification: Proving logbx = logax/logab for a, b > 0

[magnifik]

Homework Statement

Verify the formula log_bx = log_ax/log_ab for a, b > 0

Homework Equations

The Attempt at a Solution

I don't even know how I would go about starting this...

 

[rock.freak667]

The Attempt at a Solution

I don't even know how I would go about starting this...

If we let z=log_bx, then what is 'x' equal to in terms of 'z' and 'b'?

 

[magnifik]

If we let z=log_bx, then what is 'x' equal to in terms of 'z' and 'b'?

x=b^z
?

 

[rock.freak667]

x=b^z
?

and if you take the log_a of both sides of the equation, what does it reduce to?

 

[magnifik]

omg thanks so much! lol that was a lot easier than i thought it would be