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Optimization with convex constraints and convex objectives; notions related to convex optimization such as sub-gradients, normal cones, separating hyperplanes

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How to solve this mathematical optimization problem? [closed]

I am new to optimization stuff. I need to formulate and solve this optimization problem. $$\min \sum_{t\in\mathcal{T}}p_t$$ s.t. $$\sum_{t\in \mathcal{T}}w_t\log_2\left(1+\frac{h}{w_tn_0}p_t\right)= …
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