Question

Find x...exponents chapter​

Answer 1

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${5}^{x} + {5}^{x - 1} = 750$

$(5 + 1) \times {5}^{x - 1} = 750$

$6 \times {5}^{x - 1} = 750$

${5}^{x - 1} = 750 \div 6$

${5}^{x - 1} = 125$

${5}^{x - 1} = {5}^{3}$

Since, bases are same so we equate powers

$x - 1 = 3$

$x = 3 + 1$

$x = 4$

hope it helps you.......✌