Isnt logs like this never done the chpt yet but i think i understand due to a youtube video on logathirim. Loga=b lets say a is the base lets rearange this to a exponent log3=6. Let make 6 X log3=x log3^2 =6. I think my method is trash
this sentence will change your life:log B to base a means the power which you must raise a by to produce B e,g log of 100 to base 10 = 2 cause you must raise 10 by a power of 2 to produce 100.Therefore if log x to base a = y then a to power of y =x
When you see a log you read it like "log Y to the base A is equal to X". What this means is A^X = Y. (This symbol '^' means raised to a power.)
So A raised to what power (X) is equal to Y? Log 9 to the base 3 is equal to X. What power do you put 3 to, to get 9? You raise it to 2. Because 3^2 is equal to 9.
This may seem confusing in words but it isn't. The little number beneath the log is the number you are raising to the power. The number on the other side of the equals sign is the actual power. The number exactly after the log and before the equal sign is the answer you get when you raise the little number to the opposite number.
Sometimes you might get log x to the base 2 is equal to 4. All you do here is, right down 2^4 = X. Put 2^4 into your calculator and that is what X is.
Sometimes you get log 25 to the base x is equal to 5. Write out x^5 is equal to 25. Then you just find the fifth root of 25 on your calculator (It's 1.903653939).