If 10^x = 5, what is x?

Mathematics

1 answer:

Valentin [98]2 years ago

6 0

Answer:

x=0.69897009

Step-by-step explanation:

expand by logarithms

10^x=5

=log(10^x)=log(5)

=x log(10)=log (5)

log base 10 of 10 is 1

x.l =log(5)

multiple bothside by 1

x=log(5)

x=0.6989709

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$\huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }$

$\large\underline{ \boxed{ \sf{✰\: Concept }}}$

➣ Given two paris are linear pairs
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➣ Linear :- Having the form of a line; straight or roughly straight; following a direct course.

$\large\underline{ \boxed{ \sf{✛\: Assumptions\:✛ }}}$

➣ let given two angles be p and q that is
➣ angle p is 3x-4
➣ angle q is 3x-8
➣ we have to find "x" in the given expressions

$\large\underline{ \boxed{ \sf{✰\: let's\:solve }}}$

$\rm\angle \: p + \angle \: q = 180 \degree \\$

★ Substituting values

$\rm { \pink➾ \:( 3x - 4) + (3x - 8) = 180} \\ \rm { \pink➾}arranging \: and \: solving \: like \: terms \\ \rm { \pink➾ \: 3x + 3x - 4 - 8 = 180} \\ \rm { \pink➾ \: 6x - 12 = 180} \\ \rm { \pink➾6x = 180 + 12}$