If log65 = 1.812, what is the value of log 1000 65?

a. 0.1812

b. 0.00182

c. 0.604

d. 0.0604

Question

If log65 = 1.812, what is the value of log 1000 65?
                                                             
       a. 0.1812

b. 0.00182

c. 0.604

d. 0.0604

the_fizicx99 · Answer

why is there alot of spacing?

anonymous · Answer

sry about that

the_fizicx99 · Answer

log(1000) * 65 ? my os is working like sh!t atm

anonymous · Answer

i did that and I got 195

the_fizicx99 · Answer

Me too, is that what they're asking for?

anonymous · Answer

im guessing the answer is b but im not sure

anonymous · Answer

i just move the decimal, lol

opcode · Answer

If $\log_{65} = 1.812$, what is the value of $\log_{1000} 65$?

$$\log_{10} 65 = 1.812 \implies 10^{1.812} = 65$$
Write $1000$ into an exponent, which is $10^3$.
$$\log_{1000} (65) = y$$
$$10^{3y} = 65$$
$$3y = 1.812$$
$$y =1.812\div3 = 0.604$$

opcode · Answer

You can review the logarithmic properties here: http://www.chilimath.com/algebra/advanced/log/log-expanding.html