exam Maths Puzzle Numerical Ability

I am supposed to solve for x and the base of the logarithm is 10 but I can not figure it out.

log[10+3x]=7log4

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exam Other Question

I dont understand this:

Kendra invested $850, part of it at 9% and part of it at 12%. If her interest for one year was $81 how much did she invest at each rate?
I need help on trig identities please.....

Use the fundamental identities to write the expression in terms of a single trig function

(cscx/secx-tanx) - (cscx/secx+tanx)

Th