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timama [110]
3 years ago
15

How do you solve question 5

Mathematics
2 answers:
yKpoI14uk [10]3 years ago
5 0
<span><span><span>log<span>(<span>x10</span>)</span></span>=14</span><span><span>log<span>x10</span></span>=14</span></span>Rewrite <span><span><span>log<span>(<span>x10</span>)</span></span>=14</span><span><span>log<span>x10</span></span>=14</span></span> in exponential form using the definition of a logarithm. If <span>xx</span> and <span>bb</span> are positive real numbers and <span>bb</span><span>≠≠</span><span>11</span>, then <span><span><span><span>logb</span><span>(x)</span></span>=y</span><span><span><span>logb</span>x</span>=y</span></span> is equivalent to <span><span><span>by</span>=x</span><span><span>by</span>=x</span></span>.<span><span><span>1014</span>=<span>x10</span></span><span><span>1014</span>=<span>x10</span></span></span>Solve for <span>xx</span>Tap for less steps...Raise <span>1010</span> to the power of <span>1414</span> to get <span>100000000000000100000000000000</span>.<span><span>100000000000000=<span>x10</span></span><span>100000000000000=<span>x10</span></span></span>Since <span>xx</span> is on the right side of the equation, switch the sides so it is on the left side of the equation.<span><span><span>x10</span>=<span>1014</span></span><span><span>x10</span>=<span>1014</span></span></span>Multiply both sides of the equation by <span>1010</span>.<span><span>x=<span><span>1014</span>⋅<span>(10)</span></span></span><span>x=<span><span>1014</span>⋅10</span></span></span>Simplify the right side.Tap for more steps...<span><span>x=1000000000000000</span><span>x=1000000000000000</span></span>Verify each of the solutions by substituting them back into the original equation <span><span><span><span>log<span>(x)</span></span><span>−<span>log<span>(10)</span></span></span></span>=14</span><span><span><span>logx</span><span>-⁢<span>log10</span></span></span>=14</span></span> and solving. In this case, all solutions were found to be valid.<span>x=<span>1000000000000000

So here it is...COuld be a little sloppy</span></span>
Reil [10]3 years ago
5 0
Log properties

loga-logb=log(a/b)
and

log_a(b)=c means a^c=b
and log_a(a)=1


if no base is written assume base 10
log_{10}(x)-log_{10}(10)=14
log_{10}(x)-1=14
add 1 to both sides
log_{10}(x)=15
translate
10^{15}=x
x=1,000,000,000,000,000
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barxatty [35]

Answer:

The correct option is option number 4. Parallel lines are defined as lines that never have one point in common.

Step-by-step explanation:

Parallel lines: Parallel lines are the lines that will never cross each other. As they never meet, so they won't have a common point.

On the other hand, the other options are incorrect. This is because,

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4 0
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jek_recluse [69]
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7 0
3 years ago
Britney scored an 85 on her last math test write the prime factorization on 85 ​
7nadin3 [17]

Answer:

5 \times 17

Step-by-step explanation:

Just so you know, for your information, composite numbers have more than <em>two</em> factors, and prime numbers have EXACTLY two factors [1 and itself (that number)].

* A common mistake is that people make is that they say that all even numbers are composite, and that is false because there are odd numbers that are PERFECT SQUARES and can be divided evenly without leaving a remainder. So, using the Prime Factorization Method, you can do this in two structures:

  • Ladder Diagram
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Factor Tree

85

/ \

17 5

Ladder Diagram

17|<u>85</u>

5|<u>5</u>

1

In the Ladder Diagram, when you are down to 1, you know that factorization is over and there is nothing else to do.

So, with that being said, the prime factorization of 85 is 17 × 5.

I am joyous to assist you anytime.

5 0
2 years ago
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