Can someone help me with translating log to exponential form, vice versa?

Question

danjs · Answer

logs are exponents

dtan5457 · Answer

How do you create that tiny number next to a log?

danjs · Answer

log base b of x  means.

b to what power equals x

danjs · Answer

$$\log _{b}x = y~~~~~~~or~~~~~~b^y = x$$

danjs · Answer

b to what power is x,,     b to the y power is x

anonymous · Answer

\log_b

dtan5457 · Answer

ok. i see that. can there ever be a number in front of the log? i just want to know all the rules basically

dtan5457 · Answer

and if so, what does that represent?

calculusfunctions · Answer

For example, if$$2^{3}=8$$Then$$\log_{2} 8=3$$

danjs · Answer

remember
$$\log _{b}(x^n) = n*\log _{b}x$$

anonymous · Answer

$$10^{-3}=.001\iff \log(.001)=-3$$

calculusfunctions · Answer

IF$$\log_{b}x =y $$then the base b must be a positive real number except 1, the argument x > 0, and the exponent y can be any real number.

danjs · Answer

That expression satellite typed in is:
log base 10 of 0.001 = -3

"10 to what power is 0.001"            that =-3

dtan5457 · Answer

Can someone explain inverse log?

triciaal · Answer

the log of a number is the power to which the base must be raised to get that number

triciaal · Answer

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