# Resource request for moderate difficulty algebra

I am currently in high school and I'm in the process of preparing for my maths exams. One of the topics covered is algebra (exponents, logarithmic functions, binomial theorem, complex numbers). I am looking for a resource with problems of moderate difficulty. An example of what I mean by "moderate difficulty" is the following question related to exponents and logarithms:

$$2 \log_{0.04}{(bx+28)} + \log_{5}{(12-4x-x^2)} = 0$$ . Find $$b$$.

I am NOT looking for an answer to this question, it is just to provide some context. I am requesting additional resources as my math textbook has comparatively easier problems. If someone could share books/question-banks consisting of moderate or hard problems related to algebra, it would be great.

• My impression is that the OP knows how to solve this and similar equations, and instead wants references to problems of similar difficulty to practice on. Also, the part about "This is more advanced than high school math" is fairly standard for high school, and I suspect pretty much every precalculus text states that $x = y$ can be concluded from $\log_b x = \log_b y$ (subject to suitable restrictions on $x,$ $y,$ $b).$ Indeed, this is immediate from the fact that graphs of logarithms satisfy the horizontal line test. – Dave L. Renfro Feb 11 at 18:19