Trig/PreCalc
posted by Eric .
Need help with current Trig problem for tomorrow:
Solve the logarithmic equation algebraically. Approximate the result to three decimal places.
6log3(0.5x)=11
I know to start off the equation you divide by 6.
I know the answer is 14.988. I just am puzzled on how to receive the answer.

Trig/PreCalc 
Damon
6log3(0.5x)=11
log3 (.5x) = 11/6
3^[log3 (.5x)] = .5 x = 3^(11/6)
x = 2 * 3^(11/6)
x = 2 * 4.494
x = 14.9882972
Respond to this Question
Similar Questions

math
Solve the equation algebraically. Round the result to three decimal places. log4 x  log4(x1) = 1/2 I have no idea how to do this. Please help! 
calculus
Please help me solve this equation. log[2](3)+log[2](x)=log[2](5)+log[2](x2) 1. Solve equation by setting up algebraically. 2. Use appropriate properties of Logarithm to reduce the number of logarithmic terms to only one. 3. Solve … 
calculus
Please help me? ln(x+1)ln(x2)=ln(5) 1. Solve equation by setting up algebraically. 2. Use appropriate properties of Logarithm to reduce the number of logarithmic terms to only one. 3. Solve logarithmic equation. 
Trig/PreCalc
Could someone please help me on this problem. I'm really confused, and this assignment is due tomorrow. Solve the logarithmic equation algebraically. Approximate the result to three decimal places. log4xlog4(x1)=1/2 To start off … 
precalc/trig
Solve the Logarithmic equation algebraically. Give an Exact Answer and an approximation for x to four decimal places. 20 log(2x+2)=45 
precalculus
solve the following logarithmic equation. be sure to reject any value of x that is not in the domain of the original logarithmic expression. give the exact answer. then, use the calculator to obtain a decimal appromiation, correct … 
Trig/PreCalc
Solve the polynomial equation. 15x^3119x^210x+16=0 
PreCalc/Trig...
Write the equation y = bx in logarithmic form. 
algebra
Solve the equation algebraically. Round the result to three decimal places. Verify your answer using a graphing utility. e−^8x − 6xe^−8x = 0 x = I need help solving this problem. 
Pre calc
An equation is given. (Enter your answers as a commaseparated list. Let k be any integer. Round terms to three decimal places where appropriate. Find All solutions of the equation 2sin(theta/3)+ square root three =0