Evaluate the logarithmic expression. Do not round the expression until the final answer. When necessary, round to the nearest hundredth.

log2 32

Question

Evaluate the logarithmic expression. Do not round the expression until the final answer. When necessary, round to the nearest hundredth.

log2 32

campbell_st · Answer

ok... so this is a base 2 log

so can you write 32 in terms of base of 2 and a power...?

anonymous · Answer

i think so

campbell_st · Answer

what would it be if 32 is written with a base of 2 and a power..?

anonymous · Answer

idk thats what i need help with

campbell_st · Answer

ok... this may be handy in your future math

powers of 2

$$2^0 = 1$$

$$2^1 = 2$$

$$2^2 = 4$$

$$2^3 = 8$$

$$2^4 = 16$$

$$2^5 = 32$$

the pattern continues... but I hope you see whats happening... 

now a law of logs says when the base of the log and the base of the number are the same... the power is the answer... or something like that

$$\log_{a} a^b = b$$

so in your question you have 

$$\log_{2} (2^5) = ?$$

any thoughts on what the answer may be..?

anonymous · Answer

is it 5

campbell_st · Answer

thats it... 

well done

anonymous · Answer

thanks