Use logarithms to solve the equation 2^(n-3) = 18000, giving your answer correct to 3 significant figures.
To find the answer first you have to take a log of both sides.
I am going to use log to the base 2 for my example - but any base will work as long as they are the same on both sides of the equals sign
log(2n-3)=log(18000)
Using the rules of logerithms you can bring down the power
(n-3)log(2)=log(18000)
As I am using base 2 log(2)=1
n-3=log(18000)
n=log(18000)+3
n=17.1
EJ
Related Maths A Level answers
All answers ▸Water is flowing into a rightcircular cone at the rate r (volume of water per unit time). The cone has radius a, altitude b and the vertex or "tip" is pointing downwards. Find the rate at which the surface is rising when the depth of the water is y.
Solve the simultaneous equations: (1) y – 2x – 4 = 0 , (2) 4x^2 + y^2 + 20x = 0
How do I find the area bounded by the curve y=-x^2+4 and the line y=-x+2?
Given that 4 sin(x) + 5 cos(x) = 0 , find the value of tan x .