Write in exponential form: logb 7 = 12

Answer 1

b^12 = 7, the log of 7 to the base b = 7

b=the 12th root of 7, 1<b<2, with b closer to 1 than 2

bxbxbxbxbxbxbxbxbxbxbxb = 7. b times itself 12 times = 7

it's easier to see what goes on with a more simple example

log100= 2 (log is often used as the common log with implicit base =10)

10 squred = 100, 10^2 = 100, similarly

logb7 = 12 means b^12 = 7

you need a calculator to solve for b, but you know it's between 1 and 2 since 1^12 = 1<7 and 2^12>7