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concepts to understand logarithms c7 we need to prove that B to the exponent of log B X is actually equals to just X now if you think about it exponential functions and logarithmic functions are inverse right and therefore this should be equal to X right so that is the logic letamp;#39;s try to prove it algebraically so let us say that B to the power log to the base B X remember this base should be same okay so it is based to an exponent of love with the same base now what I was saying was since exponential functions and logarithmic functions are inverse of one another we should get X right now let us say it is not an expert something else letamp;#39;s say it is equals to Y so we get letamp;#39;s write it as Y okay and weamp;#39;ll figure out what that Y is now any number Y could be written as B to the power of some exponent letamp;#39;s say T in that case well we have these two same bases and therefore the exponent should be seen so we have log B X is equal to write their exponen