Algebra 2
posted by Ana .
solve the equation:
log(base2)^(x3)log(base2)^5 = 2log(base2)^10
I don't know how to solve it, can someone help me? Please and thank you.

your notation makes no sense
on the right side you have
2log(base2)^10
or
2log_{2}^{10}
there is no such notation.
The expression on the left is even worse. 
this is exactly what my homework sheet says. this is not teacher made, it's from the book. 2log(base2)^10 = log(base2)^10^2 = log(base2)^100

In this and most forums the ^ is used as an exponent indicator
e.g. 2^3 = 2^{3}
looking at your last line in the previous reply, I will assume that by
2log(base2)^10 = log(base2)^10^2 = log(base2)^100 you really meant :
2log(base2)10 = log(base2)10^2 = log(base2)100
so your question of
log(base2)^(x3)log(base2)^5 = 2log(base2)^10 is really
log(base2)(x3)log(base2)5 = 2log(base2)10 or
log_{2}(x3)log_{2}5 = 2log_{2}100
divide by log_{2}5
log_{2}(x3) = log_{2}100/log_{2}5
log_{2}(x3) = log100/log5 = 2.861353
so x3 = 2^2.861353
x3 = 7.26697
x = 10.26697
Respond to this Question
Similar Questions

Math 12
7. Simplify. b) log base2 20 + log base3 8 + log base2 3 + log base3 4 I can't remember how to switch bases... Thanks! 
Algebra 2
How would I solve the equation: log(base2)4  log(base2)(x+3) = log(base2)8 ? 
Calculus
I have trouble finding the second derivative, my answer is a little off from the answer key. f(x)=(log(base2)x)^5 f'(x)=[5(log(base2)x)^4]/xln2 f"(x)=[20(log(base2)x)³(xln2)(ln2+(x/2))(5(log(base2)x)^4)]/[x²(ln2)²] for the f"(x), … 
Calculus
Find the second derivative of the following function: y=log(base2)x/x² y'=[(x/ln2)2xlog(base2)x]/x^4 the derivative of x/ln2 is (ln2)^1? 
Math
Evaluate log(base2)8log(base2)12+log(base2)6 
PrecalculusVerify
log(base2)xlog(base2)6= log(base2)5+ 2log(base2)3 log(x/6)=3log15 (x/6)=15^3 6*(x/6)=15^3*6 x=15^3*6 =20,250 Answer is 270.... What did I do wrong... 
Computer Organization
Help me solve this question by using 1's complement (i) 110(Base2)  010(Base2) (ii) 1010(Base2)  1000(Base2) Help me solve this question convert The Value 40 and 52 to 8Bit digit in form of: (i) Sign and Magnitude (ii) 1's Complement … 
Algebra
In the logarithmic expression . . . log(base 4) 8 , how does the base 4 become base 2? 
Advanced Functions/ Precalculus Log
1. Evaluate 4^(log base4 64) + 10^(log100) 2. Write 1+log(base2)x^3 as a single logarithm 3. Write log(base b)√(x^3 y z^6) 4. Solve log(base 2)xlog(base 2)6=log(base 2)5+2log(base 2)3 5. Solve 3^(2x) = 9(81^x) 6. Solve 3^(2x)=7^(3x1). … 
math
Given that 2 log base2 (x+15)  log base2 x = 6 1.Show that x^2 34x +225 = 0 2. Hence or otherwise solve the equation 2 log base 2 (x+15)  log base 2 x =6