Solve Inx + In3 = In6

To solve Inx + In3 = In6 we must follow some basic log rules, 

logb(mn) = logb(m) + logb(n)

if we compare this with the left side of our equation, Inx + In3, we will set m = x and n = 3, 

mn is therefore 3x

this means that Inx + In3 is equivalent to In3x

So replacing that into our original equation:

In3x = In6

Take In of both sides

3x = 6

therefore x = 2

Ellie B. GCSE Maths tutor, 11 Plus Maths tutor, A Level Maths tutor, ...

6 months ago

Answered by Ellie, an A Level Maths tutor with MyTutor

Still stuck? Get one-to-one help from a personally interviewed subject specialist


£20 /hr

Dominic S.

Degree: Maths with French (Bachelors) - Southampton University

Subjects offered: Maths, Further Mathematics

Further Mathematics

“Hello! I'm a Maths with French student at Southampton University. I love being able to help people fully grasp challenging mathematics. Maths can be a difficult thing to get your head around, but with a personal tutor you can learn mu...”

MyTutor guarantee

£20 /hr

Thomas P.

Degree: Masters in Mathematics (Masters) - Oxford, Oriel College University

Subjects offered: Maths, Further Mathematics

Further Mathematics

“About Me: I am a Maths student at Oxford University. Whilst I love learning about, talking about, and generally engaging with Mathematics, that's not all I do! Outside of studying I enjoy board games, and I play squash for the Univers...”

£20 /hr

Felix H.

Degree: Aerospace Engineering (Bachelors) - Manchester University

Subjects offered: Maths


“I'm an Aerospace student at the University of Manchester. I've had a long standing love of my field, and, and I'mexcited to get people to perform at their best level in exams. The Tutorials Before getting into regular sessions, where ...”

MyTutor guarantee

About the author

£20 /hr

Ellie B.

Degree: Mathematics (Masters) - York University

Subjects offered: Maths, Physics+ 1 more

Further Mathematics

“Hi, my name is Ellie and I am currently studying Mathematics at the University of York. I chose York because I felt a real connection with the teachers, they made maths fun, interesting and easy. That's what I hope to do with all my s...”

MyTutor guarantee

You may also like...

Other A Level Maths questions

Solve Inx + In3 = In6

Differentiate ln(x)/x

What is the best way to prove trig identities?

How do I use the chain rule to differentiate polynomial powers of e?

View A Level Maths tutors


We use cookies to improve our service. By continuing to use this website, we'll assume that you're OK with this. Dismiss