Why does log 10 100,000 equal to 5?

why must log 10 5 be a number between 0 and 1? answer now

Explanation:

A logarithm is an exponent. An integer exponent tells you the number of times the base is a factor in the product:

  100,000 = 10×10×10×10×10 = 10⁵

so, log₁₀(100,000) = log₁₀(10⁵) = 5, the exponent of the base.

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You know that 10⁰ = 1 and 10¹ = 10. Since the logarithm is the exponent of 10, the log of a number between 1 and 10 is expected to be between 0 and 1.

You may also know that ...

That is, log₁₀(3.1623) = 0.50000. Just as the log of a number near 3 is between 0 and 1, the log₁₀ of any number between 1 and 10 will be between 0 and 1.

The number you're asking about, 5, has a logarithm that is about 0.69897.

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

the answer would be 484

step-by-step explanation:

just multiply 0.484 times 1,000 (formula)