can anyone explain basic logarithm please?

[little nest]

I just need to like kinda understand the concept and how to use the log table for Index numbers

[young frost]

$log_b(x) = a$

[echo cipher]

martin(ping-me-when-reply)

[young frost]

can be written as

$b^a = x$

[echo cipher]

martin(ping-me-when-reply)

[young frost]

that is what a logarithm functionally is

[little nest]

What does it mean tho?? Sorry I actually really struggle with understanding log and derivatives

[torn mist]

ight so

the base remains the same

@little nest

for examble

$2^3 = 8$

[echo cipher]

bunny girl sin pi

[torn mist]

@little nest u here 💀 ?

ight so anyway

look at it this way

take the base 2 as the "rate of growth"

and the exponent will be how many times it grows yeah?

and 8 will be the end product

for example if the exponent is -1

it grows backwards

so its still growing by 2 but its just backwards (getting smaller) instead of going forwards (getting bigger) like a positive exponent

the log basically is just the inverse function

it just asks u the exponent or how many times it "grows"

credit : eddie woo on yt

ight lemme get back to trig rn hope you understood

[little nest]

@torn mist I'm soo sorry it was raining really bad and the electricity was out

[little nest]

Ohh thanks a lot