The Student Room Group

Math help - Logarthmic functions

I'm a newbie to logs and I need help for the q:

e^(lnx + lny^x)

the symbol ^ means its a power.
Reply 1
Original post by Nice_100
I'm a newbie to logs and I need help for the q:

e^(lnx + lny^x)

the symbol ^ means its a power.

It seems to me like you need the normal logarithmic rules to solve this:
logaxk=klogax \log_a x^k = k \log_a x
logax+logay=logaxy \log_a x + \log_a y = log_a xy
And finally:
elna=a e^{\ln a} = a
As per TSR rules, I've tried to just give some hints: hopefully you can see how these fit into your question? If not, let me know and I'll get back to you :smile:. I hope this helps!

P.S.
Do note that lna=logea \ln a = \log_e a
(edited 2 months ago)
Reply 2
Original post by {Moss}
It seems to me like you need the normal logarithmic rules to solve this:
logaxk=klogax \log_a x^k = k \log_a x
logax+logay=logaxy \log_a x + \log_a y = log_a xy
And finally:
elna=a e^{\ln a} = a
As per TSR rules, I've tried to just give some hints: hopefully you can see how these fit into your question? If not, let me know and I'll get back to you :smile:. I hope this helps!

P.S.
Do note that lna=logea \ln a = \log_e a

this deffo helped thanks!
Reply 3
Original post by Nice_100
this deffo helped thanks!

Brilliant, best of luck :biggrin:

Quick Reply

Latest