Answer:
log₁₀ (10¹²)
Step-by-step explanation:
First you should find the solution to the given equation
x-4=2³
x-4=8
x=8+4=12
Now observe the behavior of logarithmic equations with the base 10
log₁₀ 100=2
log₁₀ 10000=4
log₁₀ 1000000=6
To get the answer to
log₁₀ y=12
Then y=10¹².........................how?
check for the first case
log₁₀ 100=2 this can be written as
10²=100
This means to get y in log₁₀y=12 you should rise the base to power 12
y=10¹²
This is to say that
log₁₀ (10¹²) = 12
Answer:
The nearest whole number is 6,587,302
We have that
1/16 = 64<span>^x
applying log both sides
log(1/16)=log(</span>64^x)
log 1-log16=x*log64
-log 16=x*log 64
divide by log 64 both sides
x=-log 16/log 64
log 16=log 2^4-----> 4*log 2
log 64=log 2^6-----> 6*log 2
-log 16/log 64=(-4*log 2)/(6*log 2)-----> -4/6------> -2/3
the answer is
x=-2/3
