Mathematics, 07.10.2020 14:01 gissellesolorza

Solve the following expressions using logarithm and Antilogarithm . 1.
2.
3.
4.
5.

$\sqrt{0.0002851}$
$\sqrt[7]{0.0005812}$
$2.714^{3}$
${35.12}^{ \frac{1}{5} }$
${(0.07214})^{ \frac{1}{3} }$

Answers: 3

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Answers

Answer from: graceaowen

0.016884960.34495370.050023082.03756230.4162862

Step-by-step explanation:

Some formulas to help

log ab = log a + log blog a/b = log a - log blog a^b = b log aantilog (log a) = a, antilog is the inverse of logget values of log and antilog by using calculator or online calculator ( I used online calculator for this problem)round numbers as required, I left them as is

1. Let the number be x, solving to show the method

√0.0002851 = xlog √0.0002851 = log x1/2 log 0.0002851 = log x1/2(-3.545) = log xlog x = -1.7725antilog (log x) = antilog (-1.7725)x = 0.01688496

2. Short of the above method, will apply to this and following

$\sqrt[7]{0.0005812}$ =antilog (1/7 log (0.0005812)) = antilog (1/7(-3.23567439437)) =antilog (-0.46223919919) =0.3449537

3. .........................................

2.714^3 =antilog (log 2.714^3) =antilog (3 log 2.714) =antilog (3*0.43360984332) =antilog (1.30082952996) =0.05002308

4..........................................

35.12^(1/5) =antilog (1/5 log (35.12)) =antilog (1/5*1.54555450723)antilog (0.30911090144) =2.0375623

5. .........................................

(0.07214)^(1/3) =antilog ( 1/3 log (0.07214)) =antilog (1/3*(-1.14182386202 )) =antilog ( --0.380607954 )= 0.4162862

Let me know if anything is not clear. Hope it helps.

Answer from: Quest

$655.61 which is option c

step-by-step explanation:

price of house = $146,000

initial rate = 3.5%

mortgaged paid in this = 3.5 % of $146,000

= $\frac{3.5*146000}{100}$

=$5110

the total years would be = 7

total mortgaged paid = 7 * $5110

=$35770

remaining money = $146000-35770

=$110230

new mortgaged payment = 5 % of 110230

= $\frac{5*110230}{100}$

=$655.61

Answer from: Quest

Ithink you answer is c

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Solve the following expressions using logarithm and Antilogarithm . 1.

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