Write the expression as the sum or difference of two logarithmic functions conta

ka1leE

ka1leE

Answered question

2021-10-10

Write the expression as the sum or difference of two logarithmic functions containing no exponents. log(xx+6)= 
Solve the equation. Give your answer correct to 3 decimal places. 
65,000=10,000(1.05)2x 
Solve the equation. 
log4(7x+8)=3 
Express the inequality as a  constraint. 
y509x 
Use a calculator to evaluate the expression. 102.8

Answer & Explanation

yagombyeR

yagombyeR

Skilled2021-10-11Added 92 answers

Step 1
To solve the expressions and equations
Step 2
log(xx+6)=log(x)log(x+6)
65000=10000(1.05)2x
6500010000=(1.05)2x
6.5=(1.05)2x
log(6.5)=2xlog(1.05)
x=log(6.5)2log(1.05)=0.8132×0.212
x=19.174
log4(7x+8)=3=log443
Comparing 7x+8=43=64
7x=648=56
x=567=8
x=8
y509x
9x+y50
Multiplying by (-1), 9xy50
102.8=630.9573

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