Log5(5) = x
is x = 1? or 0?

Question

Log5(5) = x
is x = 1? or 0?

anonymous · Answer

since $5^1=5$ it is $1$

anonymous · Answer

I am having such issues with logarithms.

anonymous · Answer

if it was $\log_5(1)$ then since $5^0=1$ the answer would be $0$

anonymous · Answer

they are exponents

anonymous · Answer

this is what you need to be able to do quickly:
go from $\log_b(x)=y$ to $b^y=x$ with no agony

anonymous · Answer

for example 
$$10^3=1000\iff \log_{10}(1000)=3$$

anonymous · Answer

or $2^4=16\iff \log_2(16)=4$

anonymous · Answer

I see. but what about when you start putting in e?
For example: lne(8) = x

anonymous · Answer

$$\log_e(8)=x\iff x=e^8$$

anonymous · Answer

unless the question was $\ln(e^8)$ which is a different story

anonymous · Answer

It was the first one

anonymous · Answer

then it is $x=e^8$
if you want a decimal, you need to use a calculator

anonymous · Answer

2980.96?

anonymous · Answer

that is what i get too 
$$\log_{\heartsuit}(\spadesuit)=\clubsuit$$ is is the same as 
$$\heartsuit^{\clubsuit}=\spadesuit$$

anonymous · Answer

is that all, or are there more?

anonymous · Answer

Idk, i'm still confused..

anonymous · Answer

suppose i am asked for $\log_5(125)$ 
my job is to try to fill in the diamond 
 $5^{\diamondsuit}=125$

anonymous · Answer

since i know $5^3=125$ then i know $\log_5(125)=3$

anonymous · Answer

Okay... Is there like a method to find them other than memoriation? Because I was ever given like a list to remember XD

anonymous · Answer

it is not really memorization, it is more like knowing what it means

anonymous · Answer

if you know $7^2=49$ then you also know $\log_7(49)=2$

anonymous · Answer

How do you know decimals though?

anonymous · Answer

i don't 
i would need a calculator

anonymous · Answer

i know $\log_{10}(100)=2$ because i know $10^2=100$ but if i was asked for $\log_{10}(200)$ i would need a calculator to find it

anonymous · Answer

Oh