Wednesday

January 28, 2015

January 28, 2015

Posted by **Eric** on Wednesday, April 24, 2013 at 4:09pm.

log(7x + 4) = 2 + log(2x − 3)

Solve the equation.

log(x^3) = (log x)^2

- Math -
**Reiny**, Wednesday, April 24, 2013 at 6:14pmlog(7x + 4) = 2 + log(2x − 3)

log(7x + 4) - log(2x − 3) = 2

log( (7x+4)/(2x-3) ) = 2

(7x+4)/(2x-3) = 10^2 = 100

200x - 300 = 7x+4

193x = 304

x = 304/193 or appr 1.575

for the 2nd

log x^3 = log x^2

x^3 = x^2

x^3 - x^2 = 0

x^2(x-1) = 0

x = 0 or x = 1

but from log(2x-3) , 2x-3 > 0

2x > 3

x > 3/2

so there is not solution.

**Answer this Question**

**Related Questions**

math - Logarithm!!! Select all of the following that are true statements: (a) ...

math - solve for x without using a calculator 5^(x+1) = 25 i know that x would ...

math(Please help) - 1) use the properties of logarithms to simplify the ...

Advanced Functions/ Precalculus Log - 1. Evaluate 4^(log base4 64) + 10^(log100...

Math Help Please - Which of the following expressions is equal to log (x sqrt-y...

algebra - logarithms Solve the following equations 3^x-2=6 Add 2 to both sides ...

Mathematics - Prove that log a, log ar, log ar^2 is an a.p. Is the following ...

logarithms - Solve the logarithm equation. Express the solution in exact form ...

Logs. - Can you please help me with the following log. problems? thanxs! Solve ...

Trigonometry /Logarithms (brace yourself) - This is an outline that i have to ...