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3 years ago

10

GUYS...HELP ME WITH THIS...WILL GIVE BRAINLIEST...solve for x .....

1 answer:

miv72 [106K]3 years ago

5 0

Answer:

2.19

Step-by-step explanation:

${5}^{2x - 1} = {12}^{x} \\ \\ taking \: log \: on \: both \: sides \\ \\ log {5}^{2x - 1} = log {12}^{x} \\ \\ (2x - 1)log {5} = x \: log \: 12 \\ \\ 2x \: log \: 5 - log \: 5 = x \: log \: 12 \\ \\ x \: log \: 5 ^{2} -x \: log \: 12 = log \: 5 \\ \\ x \: (log \: 25 -log \: 12) = log \: 5 \\ \\ \\ x = \frac{log \: 5 }{(log \: 25 -log \: 12) } \\ \\ x = \frac{0.698970004}{1.39794001 -1.07918125 } \\ \\ x = \frac{0.698970004}{0.318758763 } \\ \\ x = 2.19278679 \\ \\ x \approx 2.19$

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<u>Solution:</u>

Given that,

Julian walked 6/10 of a mile to his friends house
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To find total distance walked by Julian we have to add the above stated values. That is, $\frac{6}{10} +\frac{35}{100} +\frac{1}{4}$

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