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

Related Maths A Level answers

All answers ▸

How to integrate by parts


Find the coordinates of the stationary points for the curve y = x^4 - 2*x^2 + 5.


By first proving that sin2θ=2sinθcosθ, calculate ∫1+sinθcosθ dθ.


Differentiate y = x^2 - 2x-3 + e^3x + 2ln(x)