Question

Find x in the following figure
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Answer 1

Answer:

X=4 is the answer

Step-by-step explanation:

4+1=5

therefore -3^5*-2^5= -2^7

Answer 2

Answer:

$x = \frac{2 log_{e}( - 2)}{ log_{e}( - 3) } - 1$

Step-by-step explanation:

${( - 3)}^{x + 1} \times {( - 2)}^{5} = { ( - 2)}^{7} \\ \\ { (- 3)}^{x + 1} = {( - 2)}^{2} \\ \\ taking \: log \: on \: both \: sides \: \: \: \: \\ \\ (x + 1) log_{e}( - 3) = 2 log_{e}( - 2) \\ \\ \\ \\ x + 1 = \frac{2 log_{e}( - 2)}{ log_{e}( - 3) } \\ \\ x = \frac{2 log_{e}( - 2)}{ log_{e}( - 3) } - 1$