Press x to solve the logarithm Press z to get both forms of the logarithm (WIP) To solve for a logarithm, you take Logb(x)=y, and split it into x=b^y Then, you find the greatest common factor of x and b, and find the exponent to multiply them both by. The way I solved this problem, was using factors. If you take Log8(32)=y, convert it to 32=8^y, you get 2^5=(2^3)^y. 32/2=16. 16/2=8. 8/2=4. 4/2=2. You divided 32 and it's results by 2 4 times, and you ended up with 2. This means you have a result of 5. 2^5=32. 8/2=4. 4/2=2. You divided 8 and it's results by 2 2 times, so you have a result of 3. This is because: 2*2=4 2*4=8. 2*(2*2)=8 It can almost be seen as a system of equations. All you are doing, is instead of multiplying 2 by itself 5 times, you are dividing that result by 2 4 times, resulting in 2. This will give you the exponent you need to multiply b by to get x. Then, you replace the 32 and the 8 with their exponents, 5 and 3, and convert it into a fraction by moving the 3 over; 5/3 is the answer.
