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 3xthis means that Inx + In3 is equivalent to In3xSo replacing that into our original equation:In3x = In6Take In of both sides3x = 6therefore x = 2

EB
Answered by Ellie B. Maths tutor

10391 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Prove the identity (sin2x)/(1+(tanx)^2) = 2sinx(cosx)^3


Integrate x*ln(x) with respect to x


Find the equation of the tangent to the circle (x-3)^2 + (y-4)^2 = 13 that passes through the point (1,7)


((x^2+4x)/2x)-((x^2-4x)/x)


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences